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Finding the Fourth Proportional to 2,100.87, 3,151.22 and 851.42

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Solution

The fourth proportional to 2,100.87, 3,151.22 and 851.42 is: 1,277.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.87 : 3,151.22 = 851.42 : x
  2. Step 2: Convert to fraction form
    2,100.87/3,151.22 = 851.42/x
  3. Step 3: Cross multiply
    2,100.87x = 3,151.22 × 851.42
  4. Step 4: Simplify right side
    2,100.87x = 2,682,995.98
  5. Step 5: Solve for x
    x = 2,682,995.98/2,100.87
  6. Step 6: Final answer
    x = 1,277.09

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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.