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Finding the Fourth Proportional to 2,794, 4,190.82 and 1,150.12

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Solution

The fourth proportional to 2,794, 4,190.82 and 1,150.12 is: 1,725.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794 : 4,190.82 = 1,150.12 : x
  2. Step 2: Convert to fraction form
    2,794/4,190.82 = 1,150.12/x
  3. Step 3: Cross multiply
    2,794x = 4,190.82 × 1,150.12
  4. Step 4: Simplify right side
    2,794x = 4,819,945.90
  5. Step 5: Solve for x
    x = 4,819,945.90/2,794
  6. Step 6: Final answer
    x = 1,725.11

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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.