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Finding the Fourth Proportional to 2,183.89, 3,273.74 and 796.51

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Solution

The fourth proportional to 2,183.89, 3,273.74 and 796.51 is: 1,194.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.89 : 3,273.74 = 796.51 : x
  2. Step 2: Convert to fraction form
    2,183.89/3,273.74 = 796.51/x
  3. Step 3: Cross multiply
    2,183.89x = 3,273.74 × 796.51
  4. Step 4: Simplify right side
    2,183.89x = 2,607,562.78
  5. Step 5: Solve for x
    x = 2,607,562.78/2,183.89
  6. Step 6: Final answer
    x = 1,194.00

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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.