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Finding the Fourth Proportional to 2,665.82, 3,998.70 and 1,204.58

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Solution

The fourth proportional to 2,665.82, 3,998.70 and 1,204.58 is: 1,806.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.82 : 3,998.70 = 1,204.58 : x
  2. Step 2: Convert to fraction form
    2,665.82/3,998.70 = 1,204.58/x
  3. Step 3: Cross multiply
    2,665.82x = 3,998.70 × 1,204.58
  4. Step 4: Simplify right side
    2,665.82x = 4,816,754.05
  5. Step 5: Solve for x
    x = 4,816,754.05/2,665.82
  6. Step 6: Final answer
    x = 1,806.86

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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.