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Finding the Fourth Proportional to 2,546.36, 3,819.36 and 791.33

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Solution

The fourth proportional to 2,546.36, 3,819.36 and 791.33 is: 1,186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.36 : 3,819.36 = 791.33 : x
  2. Step 2: Convert to fraction form
    2,546.36/3,819.36 = 791.33/x
  3. Step 3: Cross multiply
    2,546.36x = 3,819.36 × 791.33
  4. Step 4: Simplify right side
    2,546.36x = 3,022,355.05
  5. Step 5: Solve for x
    x = 3,022,355.05/2,546.36
  6. Step 6: Final answer
    x = 1,186.93

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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.