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Finding the Fourth Proportional to 2,194.41, 3,027.96 and 1,249.89

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Solution

The fourth proportional to 2,194.41, 3,027.96 and 1,249.89 is: 1,724.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.41 : 3,027.96 = 1,249.89 : x
  2. Step 2: Convert to fraction form
    2,194.41/3,027.96 = 1,249.89/x
  3. Step 3: Cross multiply
    2,194.41x = 3,027.96 × 1,249.89
  4. Step 4: Simplify right side
    2,194.41x = 3,784,616.92
  5. Step 5: Solve for x
    x = 3,784,616.92/2,194.41
  6. Step 6: Final answer
    x = 1,724.66

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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.