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Finding the Fourth Proportional to 2,221.92, 3,065.31 and 1,778.85

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Solution

The fourth proportional to 2,221.92, 3,065.31 and 1,778.85 is: 2,454.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.92 : 3,065.31 = 1,778.85 : x
  2. Step 2: Convert to fraction form
    2,221.92/3,065.31 = 1,778.85/x
  3. Step 3: Cross multiply
    2,221.92x = 3,065.31 × 1,778.85
  4. Step 4: Simplify right side
    2,221.92x = 5,452,726.69
  5. Step 5: Solve for x
    x = 5,452,726.69/2,221.92
  6. Step 6: Final answer
    x = 2,454.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.