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Finding the Fourth Proportional to 3,134.69, 4,704.19 and 1,082.69

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Solution

The fourth proportional to 3,134.69, 4,704.19 and 1,082.69 is: 1,624.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.69 : 4,704.19 = 1,082.69 : x
  2. Step 2: Convert to fraction form
    3,134.69/4,704.19 = 1,082.69/x
  3. Step 3: Cross multiply
    3,134.69x = 4,704.19 × 1,082.69
  4. Step 4: Simplify right side
    3,134.69x = 5,093,179.47
  5. Step 5: Solve for x
    x = 5,093,179.47/3,134.69
  6. Step 6: Final answer
    x = 1,624.78

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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.