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Finding the Fourth Proportional to 2,027.86, 3,028.11 and 2,006.42

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Solution

The fourth proportional to 2,027.86, 3,028.11 and 2,006.42 is: 2,996.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.86 : 3,028.11 = 2,006.42 : x
  2. Step 2: Convert to fraction form
    2,027.86/3,028.11 = 2,006.42/x
  3. Step 3: Cross multiply
    2,027.86x = 3,028.11 × 2,006.42
  4. Step 4: Simplify right side
    2,027.86x = 6,075,650.43
  5. Step 5: Solve for x
    x = 6,075,650.43/2,027.86
  6. Step 6: Final answer
    x = 2,996.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.