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Finding the Fourth Proportional to 3,201.36, 4,801.32 and 1,149.36

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Solution

The fourth proportional to 3,201.36, 4,801.32 and 1,149.36 is: 1,723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.36 : 4,801.32 = 1,149.36 : x
  2. Step 2: Convert to fraction form
    3,201.36/4,801.32 = 1,149.36/x
  3. Step 3: Cross multiply
    3,201.36x = 4,801.32 × 1,149.36
  4. Step 4: Simplify right side
    3,201.36x = 5,518,445.16
  5. Step 5: Solve for x
    x = 5,518,445.16/3,201.36
  6. Step 6: Final answer
    x = 1,723.78

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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.