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Finding the Fourth Proportional to 2,832.40, 3,905.31 and 2,500.30

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Solution

The fourth proportional to 2,832.40, 3,905.31 and 2,500.30 is: 3,447.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.40 : 3,905.31 = 2,500.30 : x
  2. Step 2: Convert to fraction form
    2,832.40/3,905.31 = 2,500.30/x
  3. Step 3: Cross multiply
    2,832.40x = 3,905.31 × 2,500.30
  4. Step 4: Simplify right side
    2,832.40x = 9,764,446.59
  5. Step 5: Solve for x
    x = 9,764,446.59/2,832.40
  6. Step 6: Final answer
    x = 3,447.41

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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.