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Finding the Fourth Proportional to 3,198.42, 4,791.60 and 1,552.68

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Solution

The fourth proportional to 3,198.42, 4,791.60 and 1,552.68 is: 2,326.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.42 : 4,791.60 = 1,552.68 : x
  2. Step 2: Convert to fraction form
    3,198.42/4,791.60 = 1,552.68/x
  3. Step 3: Cross multiply
    3,198.42x = 4,791.60 × 1,552.68
  4. Step 4: Simplify right side
    3,198.42x = 7,439,821.49
  5. Step 5: Solve for x
    x = 7,439,821.49/3,198.42
  6. Step 6: Final answer
    x = 2,326.09

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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.