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Finding the Fourth Proportional to 2,002.26, 3,003.96 and 769.77

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Solution

The fourth proportional to 2,002.26, 3,003.96 and 769.77 is: 1,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.26 : 3,003.96 = 769.77 : x
  2. Step 2: Convert to fraction form
    2,002.26/3,003.96 = 769.77/x
  3. Step 3: Cross multiply
    2,002.26x = 3,003.96 × 769.77
  4. Step 4: Simplify right side
    2,002.26x = 2,312,358.29
  5. Step 5: Solve for x
    x = 2,312,358.29/2,002.26
  6. Step 6: Final answer
    x = 1,154.87

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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.