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Finding the Fourth Proportional to 2,318.97, 3,198.11 and 1,609.68

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Solution

The fourth proportional to 2,318.97, 3,198.11 and 1,609.68 is: 2,219.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.97 : 3,198.11 = 1,609.68 : x
  2. Step 2: Convert to fraction form
    2,318.97/3,198.11 = 1,609.68/x
  3. Step 3: Cross multiply
    2,318.97x = 3,198.11 × 1,609.68
  4. Step 4: Simplify right side
    2,318.97x = 5,147,925.66
  5. Step 5: Solve for x
    x = 5,147,925.66/2,318.97
  6. Step 6: Final answer
    x = 2,219.92

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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.