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Finding the Fourth Proportional to 1,549.56, 2,325.17 and 727.85

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Solution

The fourth proportional to 1,549.56, 2,325.17 and 727.85 is: 1,092.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.56 : 2,325.17 = 727.85 : x
  2. Step 2: Convert to fraction form
    1,549.56/2,325.17 = 727.85/x
  3. Step 3: Cross multiply
    1,549.56x = 2,325.17 × 727.85
  4. Step 4: Simplify right side
    1,549.56x = 1,692,359.72
  5. Step 5: Solve for x
    x = 1,692,359.72/1,549.56
  6. Step 6: Final answer
    x = 1,092.16

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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.