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Finding the Fourth Proportional to 3,198.43, 4,412.91 and 2,019.88

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Solution

The fourth proportional to 3,198.43, 4,412.91 and 2,019.88 is: 2,786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.43 : 4,412.91 = 2,019.88 : x
  2. Step 2: Convert to fraction form
    3,198.43/4,412.91 = 2,019.88/x
  3. Step 3: Cross multiply
    3,198.43x = 4,412.91 × 2,019.88
  4. Step 4: Simplify right side
    3,198.43x = 8,913,548.65
  5. Step 5: Solve for x
    x = 8,913,548.65/3,198.43
  6. Step 6: Final answer
    x = 2,786.85

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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.