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Finding the Fourth Proportional to 1,593.38, 2,391.01 and 727.76

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Solution

The fourth proportional to 1,593.38, 2,391.01 and 727.76 is: 1,092.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.38 : 2,391.01 = 727.76 : x
  2. Step 2: Convert to fraction form
    1,593.38/2,391.01 = 727.76/x
  3. Step 3: Cross multiply
    1,593.38x = 2,391.01 × 727.76
  4. Step 4: Simplify right side
    1,593.38x = 1,740,067.66
  5. Step 5: Solve for x
    x = 1,740,067.66/1,593.38
  6. Step 6: Final answer
    x = 1,092.06

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Why These Related Problems?

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