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Finding the Fourth Proportional to 2,747.38, 3,790.08 and 2,001

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Solution

The fourth proportional to 2,747.38, 3,790.08 and 2,001 is: 2,760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.38 : 3,790.08 = 2,001 : x
  2. Step 2: Convert to fraction form
    2,747.38/3,790.08 = 2,001/x
  3. Step 3: Cross multiply
    2,747.38x = 3,790.08 × 2,001
  4. Step 4: Simplify right side
    2,747.38x = 7,583,950.08
  5. Step 5: Solve for x
    x = 7,583,950.08/2,747.38
  6. Step 6: Final answer
    x = 2,760.43

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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.