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Finding the Fourth Proportional to 2,183.92, 3,268.56 and 1,655.38

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Solution

The fourth proportional to 2,183.92, 3,268.56 and 1,655.38 is: 2,477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.92 : 3,268.56 = 1,655.38 : x
  2. Step 2: Convert to fraction form
    2,183.92/3,268.56 = 1,655.38/x
  3. Step 3: Cross multiply
    2,183.92x = 3,268.56 × 1,655.38
  4. Step 4: Simplify right side
    2,183.92x = 5,410,708.85
  5. Step 5: Solve for x
    x = 5,410,708.85/2,183.92
  6. Step 6: Final answer
    x = 2,477.52

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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.