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Finding the Fourth Proportional to 2,513.94, 3,765.87 and 1,198.97

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Solution

The fourth proportional to 2,513.94, 3,765.87 and 1,198.97 is: 1,796.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.94 : 3,765.87 = 1,198.97 : x
  2. Step 2: Convert to fraction form
    2,513.94/3,765.87 = 1,198.97/x
  3. Step 3: Cross multiply
    2,513.94x = 3,765.87 × 1,198.97
  4. Step 4: Simplify right side
    2,513.94x = 4,515,146.32
  5. Step 5: Solve for x
    x = 4,515,146.32/2,513.94
  6. Step 6: Final answer
    x = 1,796.04

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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.