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Finding the Fourth Proportional to 2,166.67, 3,250.41 and 868.24

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Solution

The fourth proportional to 2,166.67, 3,250.41 and 868.24 is: 1,302.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.67 : 3,250.41 = 868.24 : x
  2. Step 2: Convert to fraction form
    2,166.67/3,250.41 = 868.24/x
  3. Step 3: Cross multiply
    2,166.67x = 3,250.41 × 868.24
  4. Step 4: Simplify right side
    2,166.67x = 2,822,115.39
  5. Step 5: Solve for x
    x = 2,822,115.39/2,166.67
  6. Step 6: Final answer
    x = 1,302.52

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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.