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Finding the Fourth Proportional to 2,942.90, 4,414.61 and 862.90

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Solution

The fourth proportional to 2,942.90, 4,414.61 and 862.90 is: 1,294.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.90 : 4,414.61 = 862.90 : x
  2. Step 2: Convert to fraction form
    2,942.90/4,414.61 = 862.90/x
  3. Step 3: Cross multiply
    2,942.90x = 4,414.61 × 862.90
  4. Step 4: Simplify right side
    2,942.90x = 3,809,366.97
  5. Step 5: Solve for x
    x = 3,809,366.97/2,942.90
  6. Step 6: Final answer
    x = 1,294.43

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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.