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Finding the Fourth Proportional to 2,594.67, 3,891.96 and 863.25

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Solution

The fourth proportional to 2,594.67, 3,891.96 and 863.25 is: 1,294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.67 : 3,891.96 = 863.25 : x
  2. Step 2: Convert to fraction form
    2,594.67/3,891.96 = 863.25/x
  3. Step 3: Cross multiply
    2,594.67x = 3,891.96 × 863.25
  4. Step 4: Simplify right side
    2,594.67x = 3,359,734.47
  5. Step 5: Solve for x
    x = 3,359,734.47/2,594.67
  6. Step 6: Final answer
    x = 1,294.86

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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.