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Finding the Fourth Proportional to 2,544.67, 3,816.10 and 1,997.92

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Solution

The fourth proportional to 2,544.67, 3,816.10 and 1,997.92 is: 2,996.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.67 : 3,816.10 = 1,997.92 : x
  2. Step 2: Convert to fraction form
    2,544.67/3,816.10 = 1,997.92/x
  3. Step 3: Cross multiply
    2,544.67x = 3,816.10 × 1,997.92
  4. Step 4: Simplify right side
    2,544.67x = 7,624,262.51
  5. Step 5: Solve for x
    x = 7,624,262.51/2,544.67
  6. Step 6: Final answer
    x = 2,996.17

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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.