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Finding the Fourth Proportional to 2,098.69, 2,896.20 and 1,167.19

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Solution

The fourth proportional to 2,098.69, 2,896.20 and 1,167.19 is: 1,610.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.69 : 2,896.20 = 1,167.19 : x
  2. Step 2: Convert to fraction form
    2,098.69/2,896.20 = 1,167.19/x
  3. Step 3: Cross multiply
    2,098.69x = 2,896.20 × 1,167.19
  4. Step 4: Simplify right side
    2,098.69x = 3,380,408.44
  5. Step 5: Solve for x
    x = 3,380,408.44/2,098.69
  6. Step 6: Final answer
    x = 1,610.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.