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Finding the Fourth Proportional to 2,166.87, 3,251.54 and 2,149.25

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Solution

The fourth proportional to 2,166.87, 3,251.54 and 2,149.25 is: 3,225.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.87 : 3,251.54 = 2,149.25 : x
  2. Step 2: Convert to fraction form
    2,166.87/3,251.54 = 2,149.25/x
  3. Step 3: Cross multiply
    2,166.87x = 3,251.54 × 2,149.25
  4. Step 4: Simplify right side
    2,166.87x = 6,988,372.35
  5. Step 5: Solve for x
    x = 6,988,372.35/2,166.87
  6. Step 6: Final answer
    x = 3,225.10

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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.