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Finding the Fourth Proportional to 2,077.20, 3,115.80 and 779.18

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Solution

The fourth proportional to 2,077.20, 3,115.80 and 779.18 is: 1,168.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.20 : 3,115.80 = 779.18 : x
  2. Step 2: Convert to fraction form
    2,077.20/3,115.80 = 779.18/x
  3. Step 3: Cross multiply
    2,077.20x = 3,115.80 × 779.18
  4. Step 4: Simplify right side
    2,077.20x = 2,427,753.47
  5. Step 5: Solve for x
    x = 2,427,753.47/2,077.20
  6. Step 6: Final answer
    x = 1,168.76

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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.