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Finding the Fourth Proportional to 2,546.92, 3,820.44 and 2,131.39

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Solution

The fourth proportional to 2,546.92, 3,820.44 and 2,131.39 is: 3,197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.92 : 3,820.44 = 2,131.39 : x
  2. Step 2: Convert to fraction form
    2,546.92/3,820.44 = 2,131.39/x
  3. Step 3: Cross multiply
    2,546.92x = 3,820.44 × 2,131.39
  4. Step 4: Simplify right side
    2,546.92x = 8,142,847.61
  5. Step 5: Solve for x
    x = 8,142,847.61/2,546.92
  6. Step 6: Final answer
    x = 3,197.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.