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Finding the Fourth Proportional to 3,199.50, 4,799.79 and 1,351.49

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Solution

The fourth proportional to 3,199.50, 4,799.79 and 1,351.49 is: 2,027.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.50 : 4,799.79 = 1,351.49 : x
  2. Step 2: Convert to fraction form
    3,199.50/4,799.79 = 1,351.49/x
  3. Step 3: Cross multiply
    3,199.50x = 4,799.79 × 1,351.49
  4. Step 4: Simplify right side
    3,199.50x = 6,486,844.19
  5. Step 5: Solve for x
    x = 6,486,844.19/3,199.50
  6. Step 6: Final answer
    x = 2,027.46

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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.