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Finding the Fourth Proportional to 2,517.92, 3,779.24 and 1,286.21

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Solution

The fourth proportional to 2,517.92, 3,779.24 and 1,286.21 is: 1,930.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.92 : 3,779.24 = 1,286.21 : x
  2. Step 2: Convert to fraction form
    2,517.92/3,779.24 = 1,286.21/x
  3. Step 3: Cross multiply
    2,517.92x = 3,779.24 × 1,286.21
  4. Step 4: Simplify right side
    2,517.92x = 4,860,870.95
  5. Step 5: Solve for x
    x = 4,860,870.95/2,517.92
  6. Step 6: Final answer
    x = 1,930.51

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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.