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Finding the Fourth Proportional to 3,408.38, 4,703.81 and 2,082.81

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Solution

The fourth proportional to 3,408.38, 4,703.81 and 2,082.81 is: 2,874.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.38 : 4,703.81 = 2,082.81 : x
  2. Step 2: Convert to fraction form
    3,408.38/4,703.81 = 2,082.81/x
  3. Step 3: Cross multiply
    3,408.38x = 4,703.81 × 2,082.81
  4. Step 4: Simplify right side
    3,408.38x = 9,797,132.09
  5. Step 5: Solve for x
    x = 9,797,132.09/3,408.38
  6. Step 6: Final answer
    x = 2,874.43

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Why These Related Problems?

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