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Finding the Fourth Proportional to 2,832.54, 4,244.30 and 2,012.42

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Solution

The fourth proportional to 2,832.54, 4,244.30 and 2,012.42 is: 3,015.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.54 : 4,244.30 = 2,012.42 : x
  2. Step 2: Convert to fraction form
    2,832.54/4,244.30 = 2,012.42/x
  3. Step 3: Cross multiply
    2,832.54x = 4,244.30 × 2,012.42
  4. Step 4: Simplify right side
    2,832.54x = 8,541,314.21
  5. Step 5: Solve for x
    x = 8,541,314.21/2,832.54
  6. Step 6: Final answer
    x = 3,015.43

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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.