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Finding the Fourth Proportional to 2,193.79, 3,027.30 and 1,199.02

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Solution

The fourth proportional to 2,193.79, 3,027.30 and 1,199.02 is: 1,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.79 : 3,027.30 = 1,199.02 : x
  2. Step 2: Convert to fraction form
    2,193.79/3,027.30 = 1,199.02/x
  3. Step 3: Cross multiply
    2,193.79x = 3,027.30 × 1,199.02
  4. Step 4: Simplify right side
    2,193.79x = 3,629,793.25
  5. Step 5: Solve for x
    x = 3,629,793.25/2,193.79
  6. Step 6: Final answer
    x = 1,654.58

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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.