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Finding the Fourth Proportional to 2,160.27, 3,241.42 and 843.68

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Solution

The fourth proportional to 2,160.27, 3,241.42 and 843.68 is: 1,265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.27 : 3,241.42 = 843.68 : x
  2. Step 2: Convert to fraction form
    2,160.27/3,241.42 = 843.68/x
  3. Step 3: Cross multiply
    2,160.27x = 3,241.42 × 843.68
  4. Step 4: Simplify right side
    2,160.27x = 2,734,713.55
  5. Step 5: Solve for x
    x = 2,734,713.55/2,160.27
  6. Step 6: Final answer
    x = 1,265.91

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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.