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Finding the Fourth Proportional to 2,949.18, 4,422.25 and 868.92

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Solution

The fourth proportional to 2,949.18, 4,422.25 and 868.92 is: 1,302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.18 : 4,422.25 = 868.92 : x
  2. Step 2: Convert to fraction form
    2,949.18/4,422.25 = 868.92/x
  3. Step 3: Cross multiply
    2,949.18x = 4,422.25 × 868.92
  4. Step 4: Simplify right side
    2,949.18x = 3,842,581.47
  5. Step 5: Solve for x
    x = 3,842,581.47/2,949.18
  6. Step 6: Final answer
    x = 1,302.93

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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.