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Finding the Fourth Proportional to 2,002.29, 3,002.97 and 769.14

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Solution

The fourth proportional to 2,002.29, 3,002.97 and 769.14 is: 1,153.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.29 : 3,002.97 = 769.14 : x
  2. Step 2: Convert to fraction form
    2,002.29/3,002.97 = 769.14/x
  3. Step 3: Cross multiply
    2,002.29x = 3,002.97 × 769.14
  4. Step 4: Simplify right side
    2,002.29x = 2,309,704.35
  5. Step 5: Solve for x
    x = 2,309,704.35/2,002.29
  6. Step 6: Final answer
    x = 1,153.53

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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.