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Finding the Fourth Proportional to 3,287.52, 4,930.20 and 2,118.78

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Solution

The fourth proportional to 3,287.52, 4,930.20 and 2,118.78 is: 3,177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.52 : 4,930.20 = 2,118.78 : x
  2. Step 2: Convert to fraction form
    3,287.52/4,930.20 = 2,118.78/x
  3. Step 3: Cross multiply
    3,287.52x = 4,930.20 × 2,118.78
  4. Step 4: Simplify right side
    3,287.52x = 10,446,009.16
  5. Step 5: Solve for x
    x = 10,446,009.16/3,287.52
  6. Step 6: Final answer
    x = 3,177.47

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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.