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Finding the Fourth Proportional to 3,198.71, 4,412.93 and 2,019.11

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Solution

The fourth proportional to 3,198.71, 4,412.93 and 2,019.11 is: 2,785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.71 : 4,412.93 = 2,019.11 : x
  2. Step 2: Convert to fraction form
    3,198.71/4,412.93 = 2,019.11/x
  3. Step 3: Cross multiply
    3,198.71x = 4,412.93 × 2,019.11
  4. Step 4: Simplify right side
    3,198.71x = 8,910,158.93
  5. Step 5: Solve for x
    x = 8,910,158.93/3,198.71
  6. Step 6: Final answer
    x = 2,785.55

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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.