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Finding the Fourth Proportional to 1,727.22, 2,591.24 and 631.61

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Solution

The fourth proportional to 1,727.22, 2,591.24 and 631.61 is: 947.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.22 : 2,591.24 = 631.61 : x
  2. Step 2: Convert to fraction form
    1,727.22/2,591.24 = 631.61/x
  3. Step 3: Cross multiply
    1,727.22x = 2,591.24 × 631.61
  4. Step 4: Simplify right side
    1,727.22x = 1,636,636.98
  5. Step 5: Solve for x
    x = 1,636,636.98/1,727.22
  6. Step 6: Final answer
    x = 947.56

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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.