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Finding the Fourth Proportional to 3,197.56, 4,793.25 and 1,638.29

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Solution

The fourth proportional to 3,197.56, 4,793.25 and 1,638.29 is: 2,455.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.56 : 4,793.25 = 1,638.29 : x
  2. Step 2: Convert to fraction form
    3,197.56/4,793.25 = 1,638.29/x
  3. Step 3: Cross multiply
    3,197.56x = 4,793.25 × 1,638.29
  4. Step 4: Simplify right side
    3,197.56x = 7,852,733.54
  5. Step 5: Solve for x
    x = 7,852,733.54/3,197.56
  6. Step 6: Final answer
    x = 2,455.86

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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.