Final answer:
To find the value of x in the given proportion, we need to cross multiply and solve for x. After simplifying and multiplying both sides, we find that x is equal to 2 7/10.
Step-by-step explanation:
To find the value of x in the proportion 2 1/4 / x = 1 1/2 / 3 3/5, we need to cross multiply and solve for x.
First, cross multiplying, we get 2 1/4 * 3 3/5 = 1 1/2 * x.
Simplifying both sides, we have 9/4 * 18/5 = 3/2 * x.
Finally, multiplying across, we have 9/4 * 18/5 = 3/2 * x. Multiplying the fractions on the left-hand side gives us 162/20 = 3/2 * x. We can then simplify by dividing both sides by 3/2 to get x = 162/20 * 2/3 = 27/10 = 2 7/10.