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Finding the Fourth Proportional to 2,562.20, 3,843.54 and 2,124.44

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Solution

The fourth proportional to 2,562.20, 3,843.54 and 2,124.44 is: 3,186.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.20 : 3,843.54 = 2,124.44 : x
  2. Step 2: Convert to fraction form
    2,562.20/3,843.54 = 2,124.44/x
  3. Step 3: Cross multiply
    2,562.20x = 3,843.54 × 2,124.44
  4. Step 4: Simplify right side
    2,562.20x = 8,165,370.12
  5. Step 5: Solve for x
    x = 8,165,370.12/2,562.20
  6. Step 6: Final answer
    x = 3,186.86

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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.