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Finding the Fourth Proportional to 1,732.97, 2,391.46 and 1,060.54

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Solution

The fourth proportional to 1,732.97, 2,391.46 and 1,060.54 is: 1,463.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.97 : 2,391.46 = 1,060.54 : x
  2. Step 2: Convert to fraction form
    1,732.97/2,391.46 = 1,060.54/x
  3. Step 3: Cross multiply
    1,732.97x = 2,391.46 × 1,060.54
  4. Step 4: Simplify right side
    1,732.97x = 2,536,248.28
  5. Step 5: Solve for x
    x = 2,536,248.28/1,732.97
  6. Step 6: Final answer
    x = 1,463.53

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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.