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Finding the Fourth Proportional to 2,645.44, 3,968.16 and 2,033.08

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Solution

The fourth proportional to 2,645.44, 3,968.16 and 2,033.08 is: 3,049.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.44 : 3,968.16 = 2,033.08 : x
  2. Step 2: Convert to fraction form
    2,645.44/3,968.16 = 2,033.08/x
  3. Step 3: Cross multiply
    2,645.44x = 3,968.16 × 2,033.08
  4. Step 4: Simplify right side
    2,645.44x = 8,067,586.73
  5. Step 5: Solve for x
    x = 8,067,586.73/2,645.44
  6. Step 6: Final answer
    x = 3,049.62

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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.