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Finding the Fourth Proportional to 2,251.17, 3,374.45 and 864.13

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Solution

The fourth proportional to 2,251.17, 3,374.45 and 864.13 is: 1,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.17 : 3,374.45 = 864.13 : x
  2. Step 2: Convert to fraction form
    2,251.17/3,374.45 = 864.13/x
  3. Step 3: Cross multiply
    2,251.17x = 3,374.45 × 864.13
  4. Step 4: Simplify right side
    2,251.17x = 2,915,973.97
  5. Step 5: Solve for x
    x = 2,915,973.97/2,251.17
  6. Step 6: Final answer
    x = 1,295.31

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