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Finding the Fourth Proportional to 3,194.42, 4,408.72 and 1,797.44

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Solution

The fourth proportional to 3,194.42, 4,408.72 and 1,797.44 is: 2,480.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.42 : 4,408.72 = 1,797.44 : x
  2. Step 2: Convert to fraction form
    3,194.42/4,408.72 = 1,797.44/x
  3. Step 3: Cross multiply
    3,194.42x = 4,408.72 × 1,797.44
  4. Step 4: Simplify right side
    3,194.42x = 7,924,409.68
  5. Step 5: Solve for x
    x = 7,924,409.68/3,194.42
  6. Step 6: Final answer
    x = 2,480.70

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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.