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Finding the Fourth Proportional to 2,564.42, 3,846.63 and 1,025.42

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Solution

The fourth proportional to 2,564.42, 3,846.63 and 1,025.42 is: 1,538.13

Step by Step Solution

Step 1: Write the proportion equation
2,564.42 : 3,846.63 = 1,025.42 : x
Step 2: Convert to fraction form
2,564.42/3,846.63 = 1,025.42/x
Step 3: Cross multiply
2,564.42x = 3,846.63 × 1,025.42
Step 4: Simplify right side
2,564.42x = 3,944,411.33
Step 5: Solve for x
x = 3,944,411.33/2,564.42
Step 6: Final answer
x = 1,538.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.