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Finding the Fourth Proportional to 2,293.98, 3,441.84 and 834.13

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Solution

The fourth proportional to 2,293.98, 3,441.84 and 834.13 is: 1,251.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.98 : 3,441.84 = 834.13 : x
  2. Step 2: Convert to fraction form
    2,293.98/3,441.84 = 834.13/x
  3. Step 3: Cross multiply
    2,293.98x = 3,441.84 × 834.13
  4. Step 4: Simplify right side
    2,293.98x = 2,870,942.00
  5. Step 5: Solve for x
    x = 2,870,942.00/2,293.98
  6. Step 6: Final answer
    x = 1,251.51

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.