Home / 2,027.26-3,038.82-932.42

Finding the Fourth Proportional to 2,027.26, 3,038.82 and 932.42

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Solution

The fourth proportional to 2,027.26, 3,038.82 and 932.42 is: 1,397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.26 : 3,038.82 = 932.42 : x
  2. Step 2: Convert to fraction form
    2,027.26/3,038.82 = 932.42/x
  3. Step 3: Cross multiply
    2,027.26x = 3,038.82 × 932.42
  4. Step 4: Simplify right side
    2,027.26x = 2,833,456.54
  5. Step 5: Solve for x
    x = 2,833,456.54/2,027.26
  6. Step 6: Final answer
    x = 1,397.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.