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Finding the Fourth Proportional to 2,167.24, 3,251.90 and 868.68

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Solution

The fourth proportional to 2,167.24, 3,251.90 and 868.68 is: 1,303.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.24 : 3,251.90 = 868.68 : x
  2. Step 2: Convert to fraction form
    2,167.24/3,251.90 = 868.68/x
  3. Step 3: Cross multiply
    2,167.24x = 3,251.90 × 868.68
  4. Step 4: Simplify right side
    2,167.24x = 2,824,860.49
  5. Step 5: Solve for x
    x = 2,824,860.49/2,167.24
  6. Step 6: Final answer
    x = 1,303.44

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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.