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Finding the Fourth Proportional to 3,194.48, 4,408.43 and 1,797.23

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Solution

The fourth proportional to 3,194.48, 4,408.43 and 1,797.23 is: 2,480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.48 : 4,408.43 = 1,797.23 : x
  2. Step 2: Convert to fraction form
    3,194.48/4,408.43 = 1,797.23/x
  3. Step 3: Cross multiply
    3,194.48x = 4,408.43 × 1,797.23
  4. Step 4: Simplify right side
    3,194.48x = 7,922,964.68
  5. Step 5: Solve for x
    x = 7,922,964.68/3,194.48
  6. Step 6: Final answer
    x = 2,480.20

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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.