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Finding the Fourth Proportional to 3,274.70, 4,512.04 and 2,224.94

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Solution

The fourth proportional to 3,274.70, 4,512.04 and 2,224.94 is: 3,065.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.70 : 4,512.04 = 2,224.94 : x
  2. Step 2: Convert to fraction form
    3,274.70/4,512.04 = 2,224.94/x
  3. Step 3: Cross multiply
    3,274.70x = 4,512.04 × 2,224.94
  4. Step 4: Simplify right side
    3,274.70x = 10,038,990.16
  5. Step 5: Solve for x
    x = 10,038,990.16/3,274.70
  6. Step 6: Final answer
    x = 3,065.63

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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.