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Finding the Fourth Proportional to 3,194.40, 4,408.11 and 1,797.15

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Solution

The fourth proportional to 3,194.40, 4,408.11 and 1,797.15 is: 2,479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.40 : 4,408.11 = 1,797.15 : x
  2. Step 2: Convert to fraction form
    3,194.40/4,408.11 = 1,797.15/x
  3. Step 3: Cross multiply
    3,194.40x = 4,408.11 × 1,797.15
  4. Step 4: Simplify right side
    3,194.40x = 7,922,034.89
  5. Step 5: Solve for x
    x = 7,922,034.89/3,194.40
  6. Step 6: Final answer
    x = 2,479.98

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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.