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Finding the Fourth Proportional to 3,194.32, 4,408.82 and 1,868.35

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Solution

The fourth proportional to 3,194.32, 4,408.82 and 1,868.35 is: 2,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.32 : 4,408.82 = 1,868.35 : x
  2. Step 2: Convert to fraction form
    3,194.32/4,408.82 = 1,868.35/x
  3. Step 3: Cross multiply
    3,194.32x = 4,408.82 × 1,868.35
  4. Step 4: Simplify right side
    3,194.32x = 8,237,222.02
  5. Step 5: Solve for x
    x = 8,237,222.02/3,194.32
  6. Step 6: Final answer
    x = 2,578.71

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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.