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Finding the Fourth Proportional to 2,067.80, 3,101.70 and 2,048.60

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Solution

The fourth proportional to 2,067.80, 3,101.70 and 2,048.60 is: 3,072.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.80 : 3,101.70 = 2,048.60 : x
  2. Step 2: Convert to fraction form
    2,067.80/3,101.70 = 2,048.60/x
  3. Step 3: Cross multiply
    2,067.80x = 3,101.70 × 2,048.60
  4. Step 4: Simplify right side
    2,067.80x = 6,354,142.62
  5. Step 5: Solve for x
    x = 6,354,142.62/2,067.80
  6. Step 6: Final answer
    x = 3,072.90

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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.