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Finding the Fourth Proportional to 2,027.24, 3,040.42 and 546.42

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Solution

The fourth proportional to 2,027.24, 3,040.42 and 546.42 is: 819.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.24 : 3,040.42 = 546.42 : x
  2. Step 2: Convert to fraction form
    2,027.24/3,040.42 = 546.42/x
  3. Step 3: Cross multiply
    2,027.24x = 3,040.42 × 546.42
  4. Step 4: Simplify right side
    2,027.24x = 1,661,346.30
  5. Step 5: Solve for x
    x = 1,661,346.30/2,027.24
  6. Step 6: Final answer
    x = 819.51

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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.