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Finding the Fourth Proportional to 3,194.44, 4,408.50 and 2,148.04

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Solution

The fourth proportional to 3,194.44, 4,408.50 and 2,148.04 is: 2,964.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.44 : 4,408.50 = 2,148.04 : x
  2. Step 2: Convert to fraction form
    3,194.44/4,408.50 = 2,148.04/x
  3. Step 3: Cross multiply
    3,194.44x = 4,408.50 × 2,148.04
  4. Step 4: Simplify right side
    3,194.44x = 9,469,634.34
  5. Step 5: Solve for x
    x = 9,469,634.34/3,194.44
  6. Step 6: Final answer
    x = 2,964.41

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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.