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Finding the Fourth Proportional to 2,183.40, 3,274.16 and 796.28

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Solution

The fourth proportional to 2,183.40, 3,274.16 and 796.28 is: 1,194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.40 : 3,274.16 = 796.28 : x
  2. Step 2: Convert to fraction form
    2,183.40/3,274.16 = 796.28/x
  3. Step 3: Cross multiply
    2,183.40x = 3,274.16 × 796.28
  4. Step 4: Simplify right side
    2,183.40x = 2,607,127.77
  5. Step 5: Solve for x
    x = 2,607,127.77/2,183.40
  6. Step 6: Final answer
    x = 1,194.07

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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.