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Finding the Fourth Proportional to 3,199.43, 4,796.03 and 1,967.19

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Solution

The fourth proportional to 3,199.43, 4,796.03 and 1,967.19 is: 2,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.43 : 4,796.03 = 1,967.19 : x
  2. Step 2: Convert to fraction form
    3,199.43/4,796.03 = 1,967.19/x
  3. Step 3: Cross multiply
    3,199.43x = 4,796.03 × 1,967.19
  4. Step 4: Simplify right side
    3,199.43x = 9,434,692.42
  5. Step 5: Solve for x
    x = 9,434,692.42/3,199.43
  6. Step 6: Final answer
    x = 2,948.87

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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.