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Finding the Fourth Proportional to 2,544.99, 3,816.56 and 1,998.24

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Solution

The fourth proportional to 2,544.99, 3,816.56 and 1,998.24 is: 2,996.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.99 : 3,816.56 = 1,998.24 : x
  2. Step 2: Convert to fraction form
    2,544.99/3,816.56 = 1,998.24/x
  3. Step 3: Cross multiply
    2,544.99x = 3,816.56 × 1,998.24
  4. Step 4: Simplify right side
    2,544.99x = 7,626,393.54
  5. Step 5: Solve for x
    x = 7,626,393.54/2,544.99
  6. Step 6: Final answer
    x = 2,996.63

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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.