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Finding the Fourth Proportional to 3,205.08, 4,806.44 and 1,644.56

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Solution

The fourth proportional to 3,205.08, 4,806.44 and 1,644.56 is: 2,466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.08 : 4,806.44 = 1,644.56 : x
  2. Step 2: Convert to fraction form
    3,205.08/4,806.44 = 1,644.56/x
  3. Step 3: Cross multiply
    3,205.08x = 4,806.44 × 1,644.56
  4. Step 4: Simplify right side
    3,205.08x = 7,904,478.97
  5. Step 5: Solve for x
    x = 7,904,478.97/3,205.08
  6. Step 6: Final answer
    x = 2,466.23

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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.