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Finding the Fourth Proportional to 3,197.38, 4,796.49 and 1,117.54

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Solution

The fourth proportional to 3,197.38, 4,796.49 and 1,117.54 is: 1,676.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.38 : 4,796.49 = 1,117.54 : x
  2. Step 2: Convert to fraction form
    3,197.38/4,796.49 = 1,117.54/x
  3. Step 3: Cross multiply
    3,197.38x = 4,796.49 × 1,117.54
  4. Step 4: Simplify right side
    3,197.38x = 5,360,269.43
  5. Step 5: Solve for x
    x = 5,360,269.43/3,197.38
  6. Step 6: Final answer
    x = 1,676.46

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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.