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Finding the Fourth Proportional to 3,194.48, 4,408.80 and 2,313.20

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Solution

The fourth proportional to 3,194.48, 4,408.80 and 2,313.20 is: 3,192.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.48 : 4,408.80 = 2,313.20 : x
  2. Step 2: Convert to fraction form
    3,194.48/4,408.80 = 2,313.20/x
  3. Step 3: Cross multiply
    3,194.48x = 4,408.80 × 2,313.20
  4. Step 4: Simplify right side
    3,194.48x = 10,198,436.16
  5. Step 5: Solve for x
    x = 10,198,436.16/3,194.48
  6. Step 6: Final answer
    x = 3,192.52

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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.