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Finding the Fourth Proportional to 2,734.33, 4,104.74 and 2,622.92

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Solution

The fourth proportional to 2,734.33, 4,104.74 and 2,622.92 is: 3,937.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.33 : 4,104.74 = 2,622.92 : x
  2. Step 2: Convert to fraction form
    2,734.33/4,104.74 = 2,622.92/x
  3. Step 3: Cross multiply
    2,734.33x = 4,104.74 × 2,622.92
  4. Step 4: Simplify right side
    2,734.33x = 10,766,391.53
  5. Step 5: Solve for x
    x = 10,766,391.53/2,734.33
  6. Step 6: Final answer
    x = 3,937.50

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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.