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Finding the Fourth Proportional to 2,193.44, 3,027.02 and 1,198.69

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Solution

The fourth proportional to 2,193.44, 3,027.02 and 1,198.69 is: 1,654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.44 : 3,027.02 = 1,198.69 : x
  2. Step 2: Convert to fraction form
    2,193.44/3,027.02 = 1,198.69/x
  3. Step 3: Cross multiply
    2,193.44x = 3,027.02 × 1,198.69
  4. Step 4: Simplify right side
    2,193.44x = 3,628,466.17
  5. Step 5: Solve for x
    x = 3,628,466.17/2,193.44
  6. Step 6: Final answer
    x = 1,654.24

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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.