In the proportion x:1850 = 25:37, what is the first term?

In the proportion x:1850 = 25:37, what is the first term?

• A. 950
• B. 1050
• C. 1150
• D. 1250

Answer: (D)

To determine the first term in the proportion x:1850 = 25:37, we can use cross-multiplication. In proportions, the product of the means equals the product of the extremes. Specifically, this means we can set up the equation as follows: x * 37 = 1850 * 25 Now we can calculate: 1. First, calculate the right-hand side: 1850 * 25 = 46250. 2. Next, we can solve for x: x * 37 = 46250 x = 46250 / 37 x = 1250. Hence, the first term, x, is 1250. This solution method demonstrates how to solve proportions by understanding their properties and applying arithmetic correctly.

To determine the first term in the proportion x:1850 = 25:37, we can use cross-multiplication. In proportions, the product of the means equals the product of the extremes. Specifically, this means we can set up the equation as follows:

x * 37 = 1850 * 25

Now we can calculate:

1. First, calculate the right-hand side:

1850 * 25 = 46250.

2. Next, we can solve for x:

x * 37 = 46250

x = 46250 / 37

x = 1250.

Hence, the first term, x, is 1250.

This solution method demonstrates how to solve proportions by understanding their properties and applying arithmetic correctly.