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Finding the Fourth Proportional to 2,766.19, 4,149.93 and 917.17

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Solution

The fourth proportional to 2,766.19, 4,149.93 and 917.17 is: 1,375.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.19 : 4,149.93 = 917.17 : x
  2. Step 2: Convert to fraction form
    2,766.19/4,149.93 = 917.17/x
  3. Step 3: Cross multiply
    2,766.19x = 4,149.93 × 917.17
  4. Step 4: Simplify right side
    2,766.19x = 3,806,191.30
  5. Step 5: Solve for x
    x = 3,806,191.30/2,766.19
  6. Step 6: Final answer
    x = 1,375.97

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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.