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Finding the Fourth Proportional to 2,183.96, 3,277.26 and 867.48

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Solution

The fourth proportional to 2,183.96, 3,277.26 and 867.48 is: 1,301.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.96 : 3,277.26 = 867.48 : x
  2. Step 2: Convert to fraction form
    2,183.96/3,277.26 = 867.48/x
  3. Step 3: Cross multiply
    2,183.96x = 3,277.26 × 867.48
  4. Step 4: Simplify right side
    2,183.96x = 2,842,945.22
  5. Step 5: Solve for x
    x = 2,842,945.22/2,183.96
  6. Step 6: Final answer
    x = 1,301.74

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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.