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Finding the Fourth Proportional to 2,183.62, 3,276.30 and 797.05

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Solution

The fourth proportional to 2,183.62, 3,276.30 and 797.05 is: 1,195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.62 : 3,276.30 = 797.05 : x
  2. Step 2: Convert to fraction form
    2,183.62/3,276.30 = 797.05/x
  3. Step 3: Cross multiply
    2,183.62x = 3,276.30 × 797.05
  4. Step 4: Simplify right side
    2,183.62x = 2,611,374.92
  5. Step 5: Solve for x
    x = 2,611,374.92/2,183.62
  6. Step 6: Final answer
    x = 1,195.89

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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.