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Finding the Fourth Proportional to 2,798.56, 4,198.08 and 1,338.40

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Solution

The fourth proportional to 2,798.56, 4,198.08 and 1,338.40 is: 2,007.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.56 : 4,198.08 = 1,338.40 : x
  2. Step 2: Convert to fraction form
    2,798.56/4,198.08 = 1,338.40/x
  3. Step 3: Cross multiply
    2,798.56x = 4,198.08 × 1,338.40
  4. Step 4: Simplify right side
    2,798.56x = 5,618,710.27
  5. Step 5: Solve for x
    x = 5,618,710.27/2,798.56
  6. Step 6: Final answer
    x = 2,007.71

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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.