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Finding the Fourth Proportional to 1,747.28, 2,411.16 and 1,001.24

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Solution

The fourth proportional to 1,747.28, 2,411.16 and 1,001.24 is: 1,381.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.28 : 2,411.16 = 1,001.24 : x
  2. Step 2: Convert to fraction form
    1,747.28/2,411.16 = 1,001.24/x
  3. Step 3: Cross multiply
    1,747.28x = 2,411.16 × 1,001.24
  4. Step 4: Simplify right side
    1,747.28x = 2,414,149.84
  5. Step 5: Solve for x
    x = 2,414,149.84/1,747.28
  6. Step 6: Final answer
    x = 1,381.66

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