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Finding the Fourth Proportional to 2,006.87, 2,781.16 and 1,967.99

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Solution

The fourth proportional to 2,006.87, 2,781.16 and 1,967.99 is: 2,727.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.87 : 2,781.16 = 1,967.99 : x
  2. Step 2: Convert to fraction form
    2,006.87/2,781.16 = 1,967.99/x
  3. Step 3: Cross multiply
    2,006.87x = 2,781.16 × 1,967.99
  4. Step 4: Simplify right side
    2,006.87x = 5,473,285.23
  5. Step 5: Solve for x
    x = 5,473,285.23/2,006.87
  6. Step 6: Final answer
    x = 2,727.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.