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Finding the Fourth Proportional to 2,189.97, 3,286.26 and 873.50

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Solution

The fourth proportional to 2,189.97, 3,286.26 and 873.50 is: 1,310.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.97 : 3,286.26 = 873.50 : x
  2. Step 2: Convert to fraction form
    2,189.97/3,286.26 = 873.50/x
  3. Step 3: Cross multiply
    2,189.97x = 3,286.26 × 873.50
  4. Step 4: Simplify right side
    2,189.97x = 2,870,531.68
  5. Step 5: Solve for x
    x = 2,870,531.68/2,189.97
  6. Step 6: Final answer
    x = 1,310.76

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Double scale
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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.