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Finding the Fourth Proportional to 2,842.67, 4,262.72 and 1,198.33

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Solution

The fourth proportional to 2,842.67, 4,262.72 and 1,198.33 is: 1,796.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.67 : 4,262.72 = 1,198.33 : x
  2. Step 2: Convert to fraction form
    2,842.67/4,262.72 = 1,198.33/x
  3. Step 3: Cross multiply
    2,842.67x = 4,262.72 × 1,198.33
  4. Step 4: Simplify right side
    2,842.67x = 5,108,128.61
  5. Step 5: Solve for x
    x = 5,108,128.61/2,842.67
  6. Step 6: Final answer
    x = 1,796.95

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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.