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Finding the Fourth Proportional to 3,274.68, 4,913.32 and 1,194.82

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Solution

The fourth proportional to 3,274.68, 4,913.32 and 1,194.82 is: 1,792.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.68 : 4,913.32 = 1,194.82 : x
  2. Step 2: Convert to fraction form
    3,274.68/4,913.32 = 1,194.82/x
  3. Step 3: Cross multiply
    3,274.68x = 4,913.32 × 1,194.82
  4. Step 4: Simplify right side
    3,274.68x = 5,870,517.73
  5. Step 5: Solve for x
    x = 5,870,517.73/3,274.68
  6. Step 6: Final answer
    x = 1,792.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.