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Finding the Fourth Proportional to 2,502.97, 3,755.22 and 1,332.78

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Solution

The fourth proportional to 2,502.97, 3,755.22 and 1,332.78 is: 1,999.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.97 : 3,755.22 = 1,332.78 : x
  2. Step 2: Convert to fraction form
    2,502.97/3,755.22 = 1,332.78/x
  3. Step 3: Cross multiply
    2,502.97x = 3,755.22 × 1,332.78
  4. Step 4: Simplify right side
    2,502.97x = 5,004,882.11
  5. Step 5: Solve for x
    x = 5,004,882.11/2,502.97
  6. Step 6: Final answer
    x = 1,999.58

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1.5x scale

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.