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Finding the Fourth Proportional to 3,221.79, 4,832.68 and 2,248.57

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Solution

The fourth proportional to 3,221.79, 4,832.68 and 2,248.57 is: 3,372.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.79 : 4,832.68 = 2,248.57 : x
  2. Step 2: Convert to fraction form
    3,221.79/4,832.68 = 2,248.57/x
  3. Step 3: Cross multiply
    3,221.79x = 4,832.68 × 2,248.57
  4. Step 4: Simplify right side
    3,221.79x = 10,866,619.27
  5. Step 5: Solve for x
    x = 10,866,619.27/3,221.79
  6. Step 6: Final answer
    x = 3,372.85

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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.