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Finding the Fourth Proportional to 2,166.92, 3,242.25 and 1,286.19

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Solution

The fourth proportional to 2,166.92, 3,242.25 and 1,286.19 is: 1,924.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.92 : 3,242.25 = 1,286.19 : x
  2. Step 2: Convert to fraction form
    2,166.92/3,242.25 = 1,286.19/x
  3. Step 3: Cross multiply
    2,166.92x = 3,242.25 × 1,286.19
  4. Step 4: Simplify right side
    2,166.92x = 4,170,154.42
  5. Step 5: Solve for x
    x = 4,170,154.42/2,166.92
  6. Step 6: Final answer
    x = 1,924.47

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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.