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Finding the Fourth Proportional to 2,168.29, 3,251.98 and 762.90

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Solution

The fourth proportional to 2,168.29, 3,251.98 and 762.90 is: 1,144.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.29 : 3,251.98 = 762.90 : x
  2. Step 2: Convert to fraction form
    2,168.29/3,251.98 = 762.90/x
  3. Step 3: Cross multiply
    2,168.29x = 3,251.98 × 762.90
  4. Step 4: Simplify right side
    2,168.29x = 2,480,935.54
  5. Step 5: Solve for x
    x = 2,480,935.54/2,168.29
  6. Step 6: Final answer
    x = 1,144.19

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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.