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Finding the Fourth Proportional to 2,842.67, 4,262.71 and 1,198.32

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Solution

The fourth proportional to 2,842.67, 4,262.71 and 1,198.32 is: 1,796.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.67 : 4,262.71 = 1,198.32 : x
  2. Step 2: Convert to fraction form
    2,842.67/4,262.71 = 1,198.32/x
  3. Step 3: Cross multiply
    2,842.67x = 4,262.71 × 1,198.32
  4. Step 4: Simplify right side
    2,842.67x = 5,108,073.91
  5. Step 5: Solve for x
    x = 5,108,073.91/2,842.67
  6. Step 6: Final answer
    x = 1,796.93

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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.