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Finding the Fourth Proportional to 2,249.92, 3,104.90 and 1,255.17

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Solution

The fourth proportional to 2,249.92, 3,104.90 and 1,255.17 is: 1,732.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.92 : 3,104.90 = 1,255.17 : x
  2. Step 2: Convert to fraction form
    2,249.92/3,104.90 = 1,255.17/x
  3. Step 3: Cross multiply
    2,249.92x = 3,104.90 × 1,255.17
  4. Step 4: Simplify right side
    2,249.92x = 3,897,177.33
  5. Step 5: Solve for x
    x = 3,897,177.33/2,249.92
  6. Step 6: Final answer
    x = 1,732.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.