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Finding the Fourth Proportional to 3,199.93, 4,796.77 and 1,967.69

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Solution

The fourth proportional to 3,199.93, 4,796.77 and 1,967.69 is: 2,949.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.93 : 4,796.77 = 1,967.69 : x
  2. Step 2: Convert to fraction form
    3,199.93/4,796.77 = 1,967.69/x
  3. Step 3: Cross multiply
    3,199.93x = 4,796.77 × 1,967.69
  4. Step 4: Simplify right side
    3,199.93x = 9,438,556.36
  5. Step 5: Solve for x
    x = 9,438,556.36/3,199.93
  6. Step 6: Final answer
    x = 2,949.61

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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.