What is the value of x?

Answer:
3
Step-by-step explanation:
Triangles with the same shape but different size are proportional. Proportional means that their side lengths form equal ratios. To solve for x, set up a proportion.
The ratios we will create will be [tex]\frac{long}{short} =\frac{long}{short}[/tex] where each long and short are corresponding sides from each triangle.
So write:
[tex]\frac{4}{x} =\frac{3}{2.25}[/tex]
To solve, cross multiply numerator with denominator.
4(2.25) = 3(x)
9 = 3x
3 =x