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Finding the Fourth Proportional to 3,179.80, 4,769.12 and 871.28

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Solution

The fourth proportional to 3,179.80, 4,769.12 and 871.28 is: 1,306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.80 : 4,769.12 = 871.28 : x
  2. Step 2: Convert to fraction form
    3,179.80/4,769.12 = 871.28/x
  3. Step 3: Cross multiply
    3,179.80x = 4,769.12 × 871.28
  4. Step 4: Simplify right side
    3,179.80x = 4,155,238.87
  5. Step 5: Solve for x
    x = 4,155,238.87/3,179.80
  6. Step 6: Final answer
    x = 1,306.76

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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.