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Finding the Fourth Proportional to 3,197.81, 4,793.63 and 1,638.55

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Solution

The fourth proportional to 3,197.81, 4,793.63 and 1,638.55 is: 2,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.81 : 4,793.63 = 1,638.55 : x
  2. Step 2: Convert to fraction form
    3,197.81/4,793.63 = 1,638.55/x
  3. Step 3: Cross multiply
    3,197.81x = 4,793.63 × 1,638.55
  4. Step 4: Simplify right side
    3,197.81x = 7,854,570.28
  5. Step 5: Solve for x
    x = 7,854,570.28/3,197.81
  6. Step 6: Final answer
    x = 2,456.24

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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.