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Finding the Fourth Proportional to 2,663.43, 3,996.96 and 1,365.81

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Solution

The fourth proportional to 2,663.43, 3,996.96 and 1,365.81 is: 2,049.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.43 : 3,996.96 = 1,365.81 : x
  2. Step 2: Convert to fraction form
    2,663.43/3,996.96 = 1,365.81/x
  3. Step 3: Cross multiply
    2,663.43x = 3,996.96 × 1,365.81
  4. Step 4: Simplify right side
    2,663.43x = 5,459,087.94
  5. Step 5: Solve for x
    x = 5,459,087.94/2,663.43
  6. Step 6: Final answer
    x = 2,049.65

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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.