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Finding the Fourth Proportional to 2,800.81, 4,198.43 and 1,338.25

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Solution

The fourth proportional to 2,800.81, 4,198.43 and 1,338.25 is: 2,006.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.81 : 4,198.43 = 1,338.25 : x
  2. Step 2: Convert to fraction form
    2,800.81/4,198.43 = 1,338.25/x
  3. Step 3: Cross multiply
    2,800.81x = 4,198.43 × 1,338.25
  4. Step 4: Simplify right side
    2,800.81x = 5,618,542.26
  5. Step 5: Solve for x
    x = 5,618,542.26/2,800.81
  6. Step 6: Final answer
    x = 2,006.05

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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.