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Finding the Fourth Proportional to 2,200.82, 3,301.44 and 640.83

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Solution

The fourth proportional to 2,200.82, 3,301.44 and 640.83 is: 961.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.82 : 3,301.44 = 640.83 : x
  2. Step 2: Convert to fraction form
    2,200.82/3,301.44 = 640.83/x
  3. Step 3: Cross multiply
    2,200.82x = 3,301.44 × 640.83
  4. Step 4: Simplify right side
    2,200.82x = 2,115,661.80
  5. Step 5: Solve for x
    x = 2,115,661.80/2,200.82
  6. Step 6: Final answer
    x = 961.31

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