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Finding the Fourth Proportional to 2,166.78, 3,249.90 and 868.26

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Solution

The fourth proportional to 2,166.78, 3,249.90 and 868.26 is: 1,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.78 : 3,249.90 = 868.26 : x
  2. Step 2: Convert to fraction form
    2,166.78/3,249.90 = 868.26/x
  3. Step 3: Cross multiply
    2,166.78x = 3,249.90 × 868.26
  4. Step 4: Simplify right side
    2,166.78x = 2,821,758.17
  5. Step 5: Solve for x
    x = 2,821,758.17/2,166.78
  6. Step 6: Final answer
    x = 1,302.28

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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.