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Finding the Fourth Proportional to 2,562.57, 3,843.86 and 1,415.61

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Solution

The fourth proportional to 2,562.57, 3,843.86 and 1,415.61 is: 2,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.57 : 3,843.86 = 1,415.61 : x
  2. Step 2: Convert to fraction form
    2,562.57/3,843.86 = 1,415.61/x
  3. Step 3: Cross multiply
    2,562.57x = 3,843.86 × 1,415.61
  4. Step 4: Simplify right side
    2,562.57x = 5,441,399.58
  5. Step 5: Solve for x
    x = 5,441,399.58/2,562.57
  6. Step 6: Final answer
    x = 2,123.42

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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.