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Finding the Fourth Proportional to 2,747.06, 4,120.17 and 991.79

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Solution

The fourth proportional to 2,747.06, 4,120.17 and 991.79 is: 1,487.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.06 : 4,120.17 = 991.79 : x
  2. Step 2: Convert to fraction form
    2,747.06/4,120.17 = 991.79/x
  3. Step 3: Cross multiply
    2,747.06x = 4,120.17 × 991.79
  4. Step 4: Simplify right side
    2,747.06x = 4,086,357.71
  5. Step 5: Solve for x
    x = 4,086,357.71/2,747.06
  6. Step 6: Final answer
    x = 1,487.54

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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.