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Finding the Fourth Proportional to 2,832.14, 3,906.78 and 2,631.68

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Solution

The fourth proportional to 2,832.14, 3,906.78 and 2,631.68 is: 3,630.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.14 : 3,906.78 = 2,631.68 : x
  2. Step 2: Convert to fraction form
    2,832.14/3,906.78 = 2,631.68/x
  3. Step 3: Cross multiply
    2,832.14x = 3,906.78 × 2,631.68
  4. Step 4: Simplify right side
    2,832.14x = 10,281,414.43
  5. Step 5: Solve for x
    x = 10,281,414.43/2,832.14
  6. Step 6: Final answer
    x = 3,630.26

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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.