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Finding the Fourth Proportional to 3,140.80, 4,311.18 and 2,778.80

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Solution

The fourth proportional to 3,140.80, 4,311.18 and 2,778.80 is: 3,814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.80 : 4,311.18 = 2,778.80 : x
  2. Step 2: Convert to fraction form
    3,140.80/4,311.18 = 2,778.80/x
  3. Step 3: Cross multiply
    3,140.80x = 4,311.18 × 2,778.80
  4. Step 4: Simplify right side
    3,140.80x = 11,979,906.98
  5. Step 5: Solve for x
    x = 11,979,906.98/3,140.80
  6. Step 6: Final answer
    x = 3,814.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.