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Finding the Fourth Proportional to 2,194.42, 3,027.52 and 1,408.90

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Solution

The fourth proportional to 2,194.42, 3,027.52 and 1,408.90 is: 1,943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.42 : 3,027.52 = 1,408.90 : x
  2. Step 2: Convert to fraction form
    2,194.42/3,027.52 = 1,408.90/x
  3. Step 3: Cross multiply
    2,194.42x = 3,027.52 × 1,408.90
  4. Step 4: Simplify right side
    2,194.42x = 4,265,472.93
  5. Step 5: Solve for x
    x = 4,265,472.93/2,194.42
  6. Step 6: Final answer
    x = 1,943.78

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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.