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Finding the Fourth Proportional to 2,591.48, 3,886.04 and 742.17

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Solution

The fourth proportional to 2,591.48, 3,886.04 and 742.17 is: 1,112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.48 : 3,886.04 = 742.17 : x
  2. Step 2: Convert to fraction form
    2,591.48/3,886.04 = 742.17/x
  3. Step 3: Cross multiply
    2,591.48x = 3,886.04 × 742.17
  4. Step 4: Simplify right side
    2,591.48x = 2,884,089.59
  5. Step 5: Solve for x
    x = 2,884,089.59/2,591.48
  6. Step 6: Final answer
    x = 1,112.91

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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.