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Finding the Fourth Proportional to 2,778.73, 4,170.15 and 1,317.88

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Solution

The fourth proportional to 2,778.73, 4,170.15 and 1,317.88 is: 1,977.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.73 : 4,170.15 = 1,317.88 : x
  2. Step 2: Convert to fraction form
    2,778.73/4,170.15 = 1,317.88/x
  3. Step 3: Cross multiply
    2,778.73x = 4,170.15 × 1,317.88
  4. Step 4: Simplify right side
    2,778.73x = 5,495,757.28
  5. Step 5: Solve for x
    x = 5,495,757.28/2,778.73
  6. Step 6: Final answer
    x = 1,977.79

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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.