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Finding the Fourth Proportional to 3,178.36, 4,384.38 and 1,999

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Solution

The fourth proportional to 3,178.36, 4,384.38 and 1,999 is: 2,757.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.36 : 4,384.38 = 1,999 : x
  2. Step 2: Convert to fraction form
    3,178.36/4,384.38 = 1,999/x
  3. Step 3: Cross multiply
    3,178.36x = 4,384.38 × 1,999
  4. Step 4: Simplify right side
    3,178.36x = 8,764,375.62
  5. Step 5: Solve for x
    x = 8,764,375.62/3,178.36
  6. Step 6: Final answer
    x = 2,757.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.