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Finding the Fourth Proportional to 2,374.56, 3,562.92 and 1,221.12

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Solution

The fourth proportional to 2,374.56, 3,562.92 and 1,221.12 is: 1,832.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.56 : 3,562.92 = 1,221.12 : x
  2. Step 2: Convert to fraction form
    2,374.56/3,562.92 = 1,221.12/x
  3. Step 3: Cross multiply
    2,374.56x = 3,562.92 × 1,221.12
  4. Step 4: Simplify right side
    2,374.56x = 4,350,752.87
  5. Step 5: Solve for x
    x = 4,350,752.87/2,374.56
  6. Step 6: Final answer
    x = 1,832.24

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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.