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Finding the Fourth Proportional to 2,193.56, 3,027.14 and 1,198.87

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Solution

The fourth proportional to 2,193.56, 3,027.14 and 1,198.87 is: 1,654.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.56 : 3,027.14 = 1,198.87 : x
  2. Step 2: Convert to fraction form
    2,193.56/3,027.14 = 1,198.87/x
  3. Step 3: Cross multiply
    2,193.56x = 3,027.14 × 1,198.87
  4. Step 4: Simplify right side
    2,193.56x = 3,629,138.27
  5. Step 5: Solve for x
    x = 3,629,138.27/2,193.56
  6. Step 6: Final answer
    x = 1,654.45

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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.