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Finding the Fourth Proportional to 2,745.38, 3,789.10 and 2,654.24

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Solution

The fourth proportional to 2,745.38, 3,789.10 and 2,654.24 is: 3,663.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.38 : 3,789.10 = 2,654.24 : x
  2. Step 2: Convert to fraction form
    2,745.38/3,789.10 = 2,654.24/x
  3. Step 3: Cross multiply
    2,745.38x = 3,789.10 × 2,654.24
  4. Step 4: Simplify right side
    2,745.38x = 10,057,155.20
  5. Step 5: Solve for x
    x = 10,057,155.20/2,745.38
  6. Step 6: Final answer
    x = 3,663.31

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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.