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Finding the Fourth Proportional to 3,202.80, 4,805.28 and 1,471.08

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Solution

The fourth proportional to 3,202.80, 4,805.28 and 1,471.08 is: 2,207.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.80 : 4,805.28 = 1,471.08 : x
  2. Step 2: Convert to fraction form
    3,202.80/4,805.28 = 1,471.08/x
  3. Step 3: Cross multiply
    3,202.80x = 4,805.28 × 1,471.08
  4. Step 4: Simplify right side
    3,202.80x = 7,068,951.30
  5. Step 5: Solve for x
    x = 7,068,951.30/3,202.80
  6. Step 6: Final answer
    x = 2,207.12

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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.