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Finding the Fourth Proportional to 2,057.85, 3,086.13 and 759

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Solution

The fourth proportional to 2,057.85, 3,086.13 and 759 is: 1,138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.85 : 3,086.13 = 759 : x
  2. Step 2: Convert to fraction form
    2,057.85/3,086.13 = 759/x
  3. Step 3: Cross multiply
    2,057.85x = 3,086.13 × 759
  4. Step 4: Simplify right side
    2,057.85x = 2,342,372.67
  5. Step 5: Solve for x
    x = 2,342,372.67/2,057.85
  6. Step 6: Final answer
    x = 1,138.26

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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.