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Finding the Fourth Proportional to 2,394.12, 3,591.16 and 834.12

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Solution

The fourth proportional to 2,394.12, 3,591.16 and 834.12 is: 1,251.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.12 : 3,591.16 = 834.12 : x
  2. Step 2: Convert to fraction form
    2,394.12/3,591.16 = 834.12/x
  3. Step 3: Cross multiply
    2,394.12x = 3,591.16 × 834.12
  4. Step 4: Simplify right side
    2,394.12x = 2,995,456.29
  5. Step 5: Solve for x
    x = 2,995,456.29/2,394.12
  6. Step 6: Final answer
    x = 1,251.17

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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.