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Finding the Fourth Proportional to 1,727.92, 2,593.70 and 947.89

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Solution

The fourth proportional to 1,727.92, 2,593.70 and 947.89 is: 1,422.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.92 : 2,593.70 = 947.89 : x
  2. Step 2: Convert to fraction form
    1,727.92/2,593.70 = 947.89/x
  3. Step 3: Cross multiply
    1,727.92x = 2,593.70 × 947.89
  4. Step 4: Simplify right side
    1,727.92x = 2,458,542.29
  5. Step 5: Solve for x
    x = 2,458,542.29/1,727.92
  6. Step 6: Final answer
    x = 1,422.83

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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.