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Finding the Fourth Proportional to 3,199.82, 4,801.12 and 1,121.32

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Solution

The fourth proportional to 3,199.82, 4,801.12 and 1,121.32 is: 1,682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.82 : 4,801.12 = 1,121.32 : x
  2. Step 2: Convert to fraction form
    3,199.82/4,801.12 = 1,121.32/x
  3. Step 3: Cross multiply
    3,199.82x = 4,801.12 × 1,121.32
  4. Step 4: Simplify right side
    3,199.82x = 5,383,591.88
  5. Step 5: Solve for x
    x = 5,383,591.88/3,199.82
  6. Step 6: Final answer
    x = 1,682.47

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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.