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Finding the Fourth Proportional to 3,065.39, 4,229.67 and 2,002.87

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Solution

The fourth proportional to 3,065.39, 4,229.67 and 2,002.87 is: 2,763.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.39 : 4,229.67 = 2,002.87 : x
  2. Step 2: Convert to fraction form
    3,065.39/4,229.67 = 2,002.87/x
  3. Step 3: Cross multiply
    3,065.39x = 4,229.67 × 2,002.87
  4. Step 4: Simplify right side
    3,065.39x = 8,471,479.15
  5. Step 5: Solve for x
    x = 8,471,479.15/3,065.39
  6. Step 6: Final answer
    x = 2,763.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.