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Finding the Fourth Proportional to 2,183.82, 3,276.87 and 1,197.35

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Solution

The fourth proportional to 2,183.82, 3,276.87 and 1,197.35 is: 1,796.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.82 : 3,276.87 = 1,197.35 : x
  2. Step 2: Convert to fraction form
    2,183.82/3,276.87 = 1,197.35/x
  3. Step 3: Cross multiply
    2,183.82x = 3,276.87 × 1,197.35
  4. Step 4: Simplify right side
    2,183.82x = 3,923,543.91
  5. Step 5: Solve for x
    x = 3,923,543.91/2,183.82
  6. Step 6: Final answer
    x = 1,796.64

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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.