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Finding the Fourth Proportional to 3,194.60, 4,408.35 and 1,868.23

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Solution

The fourth proportional to 3,194.60, 4,408.35 and 1,868.23 is: 2,578.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.60 : 4,408.35 = 1,868.23 : x
  2. Step 2: Convert to fraction form
    3,194.60/4,408.35 = 1,868.23/x
  3. Step 3: Cross multiply
    3,194.60x = 4,408.35 × 1,868.23
  4. Step 4: Simplify right side
    3,194.60x = 8,235,789.68
  5. Step 5: Solve for x
    x = 8,235,789.68/3,194.60
  6. Step 6: Final answer
    x = 2,578.03

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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.