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Finding the Fourth Proportional to 2,123.06, 3,183.12 and 806.90

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Solution

The fourth proportional to 2,123.06, 3,183.12 and 806.90 is: 1,209.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.06 : 3,183.12 = 806.90 : x
  2. Step 2: Convert to fraction form
    2,123.06/3,183.12 = 806.90/x
  3. Step 3: Cross multiply
    2,123.06x = 3,183.12 × 806.90
  4. Step 4: Simplify right side
    2,123.06x = 2,568,459.31
  5. Step 5: Solve for x
    x = 2,568,459.31/2,123.06
  6. Step 6: Final answer
    x = 1,209.79

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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.