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Finding the Fourth Proportional to 3,191.72, 4,786.70 and 2,019.96

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Solution

The fourth proportional to 3,191.72, 4,786.70 and 2,019.96 is: 3,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.72 : 4,786.70 = 2,019.96 : x
  2. Step 2: Convert to fraction form
    3,191.72/4,786.70 = 2,019.96/x
  3. Step 3: Cross multiply
    3,191.72x = 4,786.70 × 2,019.96
  4. Step 4: Simplify right side
    3,191.72x = 9,668,942.53
  5. Step 5: Solve for x
    x = 9,668,942.53/3,191.72
  6. Step 6: Final answer
    x = 3,029.38

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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.