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Finding the Fourth Proportional to 3,229.84, 4,843.31 and 920.80

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Solution

The fourth proportional to 3,229.84, 4,843.31 and 920.80 is: 1,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.84 : 4,843.31 = 920.80 : x
  2. Step 2: Convert to fraction form
    3,229.84/4,843.31 = 920.80/x
  3. Step 3: Cross multiply
    3,229.84x = 4,843.31 × 920.80
  4. Step 4: Simplify right side
    3,229.84x = 4,459,710.04
  5. Step 5: Solve for x
    x = 4,459,710.04/3,229.84
  6. Step 6: Final answer
    x = 1,380.78

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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.