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Finding the Fourth Proportional to 1,727.73, 2,591.33 and 631.89

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Solution

The fourth proportional to 1,727.73, 2,591.33 and 631.89 is: 947.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.73 : 2,591.33 = 631.89 : x
  2. Step 2: Convert to fraction form
    1,727.73/2,591.33 = 631.89/x
  3. Step 3: Cross multiply
    1,727.73x = 2,591.33 × 631.89
  4. Step 4: Simplify right side
    1,727.73x = 1,637,432.35
  5. Step 5: Solve for x
    x = 1,637,432.35/1,727.73
  6. Step 6: Final answer
    x = 947.74

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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.