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Finding the Fourth Proportional to 3,260.96, 4,891.44 and 1,179.80

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Solution

The fourth proportional to 3,260.96, 4,891.44 and 1,179.80 is: 1,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.96 : 4,891.44 = 1,179.80 : x
  2. Step 2: Convert to fraction form
    3,260.96/4,891.44 = 1,179.80/x
  3. Step 3: Cross multiply
    3,260.96x = 4,891.44 × 1,179.80
  4. Step 4: Simplify right side
    3,260.96x = 5,770,920.91
  5. Step 5: Solve for x
    x = 5,770,920.91/3,260.96
  6. Step 6: Final answer
    x = 1,769.70

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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.