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Finding the Fourth Proportional to 2,949.30, 4,423.24 and 868.74

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Solution

The fourth proportional to 2,949.30, 4,423.24 and 868.74 is: 1,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.30 : 4,423.24 = 868.74 : x
  2. Step 2: Convert to fraction form
    2,949.30/4,423.24 = 868.74/x
  3. Step 3: Cross multiply
    2,949.30x = 4,423.24 × 868.74
  4. Step 4: Simplify right side
    2,949.30x = 3,842,645.52
  5. Step 5: Solve for x
    x = 3,842,645.52/2,949.30
  6. Step 6: Final answer
    x = 1,302.90

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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.