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Finding the Fourth Proportional to 2,896.89, 3,998.33 and 2,266.17

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Solution

The fourth proportional to 2,896.89, 3,998.33 and 2,266.17 is: 3,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.89 : 3,998.33 = 2,266.17 : x
  2. Step 2: Convert to fraction form
    2,896.89/3,998.33 = 2,266.17/x
  3. Step 3: Cross multiply
    2,896.89x = 3,998.33 × 2,266.17
  4. Step 4: Simplify right side
    2,896.89x = 9,060,864.17
  5. Step 5: Solve for x
    x = 9,060,864.17/2,896.89
  6. Step 6: Final answer
    x = 3,127.80

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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.