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Finding the Fourth Proportional to 2,777.80, 4,168.68 and 1,317.28

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Solution

The fourth proportional to 2,777.80, 4,168.68 and 1,317.28 is: 1,976.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.80 : 4,168.68 = 1,317.28 : x
  2. Step 2: Convert to fraction form
    2,777.80/4,168.68 = 1,317.28/x
  3. Step 3: Cross multiply
    2,777.80x = 4,168.68 × 1,317.28
  4. Step 4: Simplify right side
    2,777.80x = 5,491,318.79
  5. Step 5: Solve for x
    x = 5,491,318.79/2,777.80
  6. Step 6: Final answer
    x = 1,976.86

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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.