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Finding the Fourth Proportional to 2,027.73, 3,041.92 and 640.91

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Solution

The fourth proportional to 2,027.73, 3,041.92 and 640.91 is: 961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.73 : 3,041.92 = 640.91 : x
  2. Step 2: Convert to fraction form
    2,027.73/3,041.92 = 640.91/x
  3. Step 3: Cross multiply
    2,027.73x = 3,041.92 × 640.91
  4. Step 4: Simplify right side
    2,027.73x = 1,949,605.35
  5. Step 5: Solve for x
    x = 1,949,605.35/2,027.73
  6. Step 6: Final answer
    x = 961.47

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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.