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Finding the Fourth Proportional to 3,191.85, 4,786.90 and 2,020.09

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Solution

The fourth proportional to 3,191.85, 4,786.90 and 2,020.09 is: 3,029.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.85 : 4,786.90 = 2,020.09 : x
  2. Step 2: Convert to fraction form
    3,191.85/4,786.90 = 2,020.09/x
  3. Step 3: Cross multiply
    3,191.85x = 4,786.90 × 2,020.09
  4. Step 4: Simplify right side
    3,191.85x = 9,669,968.82
  5. Step 5: Solve for x
    x = 9,669,968.82/3,191.85
  6. Step 6: Final answer
    x = 3,029.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.