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Finding the Fourth Proportional to 2,767.38, 3,810.82 and 2,472.54

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Solution

The fourth proportional to 2,767.38, 3,810.82 and 2,472.54 is: 3,404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.38 : 3,810.82 = 2,472.54 : x
  2. Step 2: Convert to fraction form
    2,767.38/3,810.82 = 2,472.54/x
  3. Step 3: Cross multiply
    2,767.38x = 3,810.82 × 2,472.54
  4. Step 4: Simplify right side
    2,767.38x = 9,422,417.44
  5. Step 5: Solve for x
    x = 9,422,417.44/2,767.38
  6. Step 6: Final answer
    x = 3,404.81

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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.