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Finding the Fourth Proportional to 2,183.06, 3,273.79 and 795.99

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Solution

The fourth proportional to 2,183.06, 3,273.79 and 795.99 is: 1,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.06 : 3,273.79 = 795.99 : x
  2. Step 2: Convert to fraction form
    2,183.06/3,273.79 = 795.99/x
  3. Step 3: Cross multiply
    2,183.06x = 3,273.79 × 795.99
  4. Step 4: Simplify right side
    2,183.06x = 2,605,887.73
  5. Step 5: Solve for x
    x = 2,605,887.73/2,183.06
  6. Step 6: Final answer
    x = 1,193.69

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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.