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Finding the Fourth Proportional to 2,942.24, 4,414.08 and 862.18

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Solution

The fourth proportional to 2,942.24, 4,414.08 and 862.18 is: 1,293.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.24 : 4,414.08 = 862.18 : x
  2. Step 2: Convert to fraction form
    2,942.24/4,414.08 = 862.18/x
  3. Step 3: Cross multiply
    2,942.24x = 4,414.08 × 862.18
  4. Step 4: Simplify right side
    2,942.24x = 3,805,731.49
  5. Step 5: Solve for x
    x = 3,805,731.49/2,942.24
  6. Step 6: Final answer
    x = 1,293.48

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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.