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Finding the Fourth Proportional to 2,027.92, 3,041.94 and 711.79

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Solution

The fourth proportional to 2,027.92, 3,041.94 and 711.79 is: 1,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.92 : 3,041.94 = 711.79 : x
  2. Step 2: Convert to fraction form
    2,027.92/3,041.94 = 711.79/x
  3. Step 3: Cross multiply
    2,027.92x = 3,041.94 × 711.79
  4. Step 4: Simplify right side
    2,027.92x = 2,165,222.47
  5. Step 5: Solve for x
    x = 2,165,222.47/2,027.92
  6. Step 6: Final answer
    x = 1,067.71

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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.