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Finding the Fourth Proportional to 2,711.38, 3,741.71 and 1,469.38

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Solution

The fourth proportional to 2,711.38, 3,741.71 and 1,469.38 is: 2,027.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.38 : 3,741.71 = 1,469.38 : x
  2. Step 2: Convert to fraction form
    2,711.38/3,741.71 = 1,469.38/x
  3. Step 3: Cross multiply
    2,711.38x = 3,741.71 × 1,469.38
  4. Step 4: Simplify right side
    2,711.38x = 5,497,993.84
  5. Step 5: Solve for x
    x = 5,497,993.84/2,711.38
  6. Step 6: Final answer
    x = 2,027.75

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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.