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Finding the Fourth Proportional to 2,781.50, 4,168.66 and 2,082.68

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Solution

The fourth proportional to 2,781.50, 4,168.66 and 2,082.68 is: 3,121.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.50 : 4,168.66 = 2,082.68 : x
  2. Step 2: Convert to fraction form
    2,781.50/4,168.66 = 2,082.68/x
  3. Step 3: Cross multiply
    2,781.50x = 4,168.66 × 2,082.68
  4. Step 4: Simplify right side
    2,781.50x = 8,681,984.81
  5. Step 5: Solve for x
    x = 8,681,984.81/2,781.50
  6. Step 6: Final answer
    x = 3,121.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.