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Finding the Fourth Proportional to 3,274.66, 4,512.81 and 2,224.90

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Solution

The fourth proportional to 3,274.66, 4,512.81 and 2,224.90 is: 3,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.66 : 4,512.81 = 2,224.90 : x
  2. Step 2: Convert to fraction form
    3,274.66/4,512.81 = 2,224.90/x
  3. Step 3: Cross multiply
    3,274.66x = 4,512.81 × 2,224.90
  4. Step 4: Simplify right side
    3,274.66x = 10,040,550.97
  5. Step 5: Solve for x
    x = 10,040,550.97/3,274.66
  6. Step 6: Final answer
    x = 3,066.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.