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Finding the Fourth Proportional to 2,191.39, 3,286.87 and 730.55

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Solution

The fourth proportional to 2,191.39, 3,286.87 and 730.55 is: 1,095.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.39 : 3,286.87 = 730.55 : x
  2. Step 2: Convert to fraction form
    2,191.39/3,286.87 = 730.55/x
  3. Step 3: Cross multiply
    2,191.39x = 3,286.87 × 730.55
  4. Step 4: Simplify right side
    2,191.39x = 2,401,229.27
  5. Step 5: Solve for x
    x = 2,401,229.27/2,191.39
  6. Step 6: Final answer
    x = 1,095.76

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1.5x scale

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.