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Finding the Fourth Proportional to 2,593.29, 3,890.49 and 838.39

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Solution

The fourth proportional to 2,593.29, 3,890.49 and 838.39 is: 1,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.29 : 3,890.49 = 838.39 : x
  2. Step 2: Convert to fraction form
    2,593.29/3,890.49 = 838.39/x
  3. Step 3: Cross multiply
    2,593.29x = 3,890.49 × 838.39
  4. Step 4: Simplify right side
    2,593.29x = 3,261,747.91
  5. Step 5: Solve for x
    x = 3,261,747.91/2,593.29
  6. Step 6: Final answer
    x = 1,257.76

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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.