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Finding the Fourth Proportional to 2,183.12, 3,274.77 and 722.27

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Solution

The fourth proportional to 2,183.12, 3,274.77 and 722.27 is: 1,083.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.12 : 3,274.77 = 722.27 : x
  2. Step 2: Convert to fraction form
    2,183.12/3,274.77 = 722.27/x
  3. Step 3: Cross multiply
    2,183.12x = 3,274.77 × 722.27
  4. Step 4: Simplify right side
    2,183.12x = 2,365,268.13
  5. Step 5: Solve for x
    x = 2,365,268.13/2,183.12
  6. Step 6: Final answer
    x = 1,083.43

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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.