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Finding the Fourth Proportional to 2,016.45, 3,019.50 and 1,195.31

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Solution

The fourth proportional to 2,016.45, 3,019.50 and 1,195.31 is: 1,789.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.45 : 3,019.50 = 1,195.31 : x
  2. Step 2: Convert to fraction form
    2,016.45/3,019.50 = 1,195.31/x
  3. Step 3: Cross multiply
    2,016.45x = 3,019.50 × 1,195.31
  4. Step 4: Simplify right side
    2,016.45x = 3,609,238.55
  5. Step 5: Solve for x
    x = 3,609,238.55/2,016.45
  6. Step 6: Final answer
    x = 1,789.90

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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.