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Finding the Fourth Proportional to 3,205.27, 4,806.20 and 1,644.64

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Solution

The fourth proportional to 3,205.27, 4,806.20 and 1,644.64 is: 2,466.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.27 : 4,806.20 = 1,644.64 : x
  2. Step 2: Convert to fraction form
    3,205.27/4,806.20 = 1,644.64/x
  3. Step 3: Cross multiply
    3,205.27x = 4,806.20 × 1,644.64
  4. Step 4: Simplify right side
    3,205.27x = 7,904,436.51
  5. Step 5: Solve for x
    x = 7,904,436.51/3,205.27
  6. Step 6: Final answer
    x = 2,466.08

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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.