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Finding the Fourth Proportional to 2,949.15, 4,422.87 and 868.76

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Solution

The fourth proportional to 2,949.15, 4,422.87 and 868.76 is: 1,302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.15 : 4,422.87 = 868.76 : x
  2. Step 2: Convert to fraction form
    2,949.15/4,422.87 = 868.76/x
  3. Step 3: Cross multiply
    2,949.15x = 4,422.87 × 868.76
  4. Step 4: Simplify right side
    2,949.15x = 3,842,422.01
  5. Step 5: Solve for x
    x = 3,842,422.01/2,949.15
  6. Step 6: Final answer
    x = 1,302.89

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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.