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Finding the Fourth Proportional to 2,098.81, 2,896.25 and 1,167.25

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Solution

The fourth proportional to 2,098.81, 2,896.25 and 1,167.25 is: 1,610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.81 : 2,896.25 = 1,167.25 : x
  2. Step 2: Convert to fraction form
    2,098.81/2,896.25 = 1,167.25/x
  3. Step 3: Cross multiply
    2,098.81x = 2,896.25 × 1,167.25
  4. Step 4: Simplify right side
    2,098.81x = 3,380,641.98
  5. Step 5: Solve for x
    x = 3,380,641.98/2,098.81
  6. Step 6: Final answer
    x = 1,610.74

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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.