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Finding the Fourth Proportional to 3,198.00, 4,412.90 and 1,781.42

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Solution

The fourth proportional to 3,198.00, 4,412.90 and 1,781.42 is: 2,458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.00 : 4,412.90 = 1,781.42 : x
  2. Step 2: Convert to fraction form
    3,198.00/4,412.90 = 1,781.42/x
  3. Step 3: Cross multiply
    3,198.00x = 4,412.90 × 1,781.42
  4. Step 4: Simplify right side
    3,198.00x = 7,861,205.70
  5. Step 5: Solve for x
    x = 7,861,205.70/3,198.00
  6. Step 6: Final answer
    x = 2,458.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.