What is the first term of the proportion where x:1850 = 25:37?

To find the first term of the proportion where ( x: 1850 = 25: 37 ), we can set up a cross-multiplication to help solve for x. The relationship defined by the proportion states that the ratio of x to 1850 is equivalent to the ratio of 25 to 37.

First, we can express this mathematically:

[ x / 1850 = 25 / 37 ]

By cross-multiplying, we get:

[ 37x = 25 \times 1850 ]

Now, calculate ( 25 \times 1850 ):

[ 25 \times 1850 = 46250 ]

Next, we solve for x:

[ 37x = 46250 ]

To isolate x, divide both sides by 37:

[ x = \frac{46250}{37} ]

Calculating this gives:

[ x = 1250 ]

Thus, the first term of the proportion is 1250. This aligns with the correct answer, as it satisfies the proportion established in the question.

In this case, while the other options do not satisfy the condition set by the initial proportion, 1250 is derived directly