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Finding the Fourth Proportional to 2,840.97, 4,262.06 and 1,198.29

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Solution

The fourth proportional to 2,840.97, 4,262.06 and 1,198.29 is: 1,797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.97 : 4,262.06 = 1,198.29 : x
  2. Step 2: Convert to fraction form
    2,840.97/4,262.06 = 1,198.29/x
  3. Step 3: Cross multiply
    2,840.97x = 4,262.06 × 1,198.29
  4. Step 4: Simplify right side
    2,840.97x = 5,107,177.89
  5. Step 5: Solve for x
    x = 5,107,177.89/2,840.97
  6. Step 6: Final answer
    x = 1,797.69

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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.