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Finding the Fourth Proportional to 3,200.71, 4,801.66 and 2,204.26

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Solution

The fourth proportional to 3,200.71, 4,801.66 and 2,204.26 is: 3,306.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.71 : 4,801.66 = 2,204.26 : x
  2. Step 2: Convert to fraction form
    3,200.71/4,801.66 = 2,204.26/x
  3. Step 3: Cross multiply
    3,200.71x = 4,801.66 × 2,204.26
  4. Step 4: Simplify right side
    3,200.71x = 10,584,093.93
  5. Step 5: Solve for x
    x = 10,584,093.93/3,200.71
  6. Step 6: Final answer
    x = 3,306.80

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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.