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Finding the Fourth Proportional to 2,098.68, 2,896.08 and 1,167.16

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Solution

The fourth proportional to 2,098.68, 2,896.08 and 1,167.16 is: 1,610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.68 : 2,896.08 = 1,167.16 : x
  2. Step 2: Convert to fraction form
    2,098.68/2,896.08 = 1,167.16/x
  3. Step 3: Cross multiply
    2,098.68x = 2,896.08 × 1,167.16
  4. Step 4: Simplify right side
    2,098.68x = 3,380,188.73
  5. Step 5: Solve for x
    x = 3,380,188.73/2,098.68
  6. Step 6: Final answer
    x = 1,610.63

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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.