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Finding the Fourth Proportional to 2,770.62, 3,794.34 and 2,734.17

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Solution

The fourth proportional to 2,770.62, 3,794.34 and 2,734.17 is: 3,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.62 : 3,794.34 = 2,734.17 : x
  2. Step 2: Convert to fraction form
    2,770.62/3,794.34 = 2,734.17/x
  3. Step 3: Cross multiply
    2,770.62x = 3,794.34 × 2,734.17
  4. Step 4: Simplify right side
    2,770.62x = 10,374,370.60
  5. Step 5: Solve for x
    x = 10,374,370.60/2,770.62
  6. Step 6: Final answer
    x = 3,744.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.