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Finding the Fourth Proportional to 2,193.65, 3,027.14 and 1,198.94

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Solution

The fourth proportional to 2,193.65, 3,027.14 and 1,198.94 is: 1,654.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.65 : 3,027.14 = 1,198.94 : x
  2. Step 2: Convert to fraction form
    2,193.65/3,027.14 = 1,198.94/x
  3. Step 3: Cross multiply
    2,193.65x = 3,027.14 × 1,198.94
  4. Step 4: Simplify right side
    2,193.65x = 3,629,344.10
  5. Step 5: Solve for x
    x = 3,629,344.10/2,193.65
  6. Step 6: Final answer
    x = 1,654.48

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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.