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Finding the Fourth Proportional to 2,982.48, 4,474.08 and 1,251.12

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Solution

The fourth proportional to 2,982.48, 4,474.08 and 1,251.12 is: 1,876.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.48 : 4,474.08 = 1,251.12 : x
  2. Step 2: Convert to fraction form
    2,982.48/4,474.08 = 1,251.12/x
  3. Step 3: Cross multiply
    2,982.48x = 4,474.08 × 1,251.12
  4. Step 4: Simplify right side
    2,982.48x = 5,597,610.97
  5. Step 5: Solve for x
    x = 5,597,610.97/2,982.48
  6. Step 6: Final answer
    x = 1,876.83

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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.