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Finding the Fourth Proportional to 3,204.58, 4,801.20 and 1,469.56

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Solution

The fourth proportional to 3,204.58, 4,801.20 and 1,469.56 is: 2,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.58 : 4,801.20 = 1,469.56 : x
  2. Step 2: Convert to fraction form
    3,204.58/4,801.20 = 1,469.56/x
  3. Step 3: Cross multiply
    3,204.58x = 4,801.20 × 1,469.56
  4. Step 4: Simplify right side
    3,204.58x = 7,055,651.47
  5. Step 5: Solve for x
    x = 7,055,651.47/3,204.58
  6. Step 6: Final answer
    x = 2,201.74

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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.