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Finding the Fourth Proportional to 2,179.80, 3,269.68 and 880.97

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Solution

The fourth proportional to 2,179.80, 3,269.68 and 880.97 is: 1,321.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.80 : 3,269.68 = 880.97 : x
  2. Step 2: Convert to fraction form
    2,179.80/3,269.68 = 880.97/x
  3. Step 3: Cross multiply
    2,179.80x = 3,269.68 × 880.97
  4. Step 4: Simplify right side
    2,179.80x = 2,880,471.44
  5. Step 5: Solve for x
    x = 2,880,471.44/2,179.80
  6. Step 6: Final answer
    x = 1,321.44

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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.