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Finding the Fourth Proportional to 3,199.81, 4,794.46 and 1,964.61

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Solution

The fourth proportional to 3,199.81, 4,794.46 and 1,964.61 is: 2,943.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.81 : 4,794.46 = 1,964.61 : x
  2. Step 2: Convert to fraction form
    3,199.81/4,794.46 = 1,964.61/x
  3. Step 3: Cross multiply
    3,199.81x = 4,794.46 × 1,964.61
  4. Step 4: Simplify right side
    3,199.81x = 9,419,244.06
  5. Step 5: Solve for x
    x = 9,419,244.06/3,199.81
  6. Step 6: Final answer
    x = 2,943.69

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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.