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Finding the Fourth Proportional to 2,780.47, 4,167.24 and 2,432.98

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Solution

The fourth proportional to 2,780.47, 4,167.24 and 2,432.98 is: 3,646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.47 : 4,167.24 = 2,432.98 : x
  2. Step 2: Convert to fraction form
    2,780.47/4,167.24 = 2,432.98/x
  3. Step 3: Cross multiply
    2,780.47x = 4,167.24 × 2,432.98
  4. Step 4: Simplify right side
    2,780.47x = 10,138,811.58
  5. Step 5: Solve for x
    x = 10,138,811.58/2,780.47
  6. Step 6: Final answer
    x = 3,646.44

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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.