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Finding the Fourth Proportional to 2,591.76, 3,888.27 and 742.92

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Solution

The fourth proportional to 2,591.76, 3,888.27 and 742.92 is: 1,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.76 : 3,888.27 = 742.92 : x
  2. Step 2: Convert to fraction form
    2,591.76/3,888.27 = 742.92/x
  3. Step 3: Cross multiply
    2,591.76x = 3,888.27 × 742.92
  4. Step 4: Simplify right side
    2,591.76x = 2,888,673.55
  5. Step 5: Solve for x
    x = 2,888,673.55/2,591.76
  6. Step 6: Final answer
    x = 1,114.56

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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.