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Finding the Fourth Proportional to 2,249.99, 3,105.36 and 1,662.23

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Solution

The fourth proportional to 2,249.99, 3,105.36 and 1,662.23 is: 2,294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.99 : 3,105.36 = 1,662.23 : x
  2. Step 2: Convert to fraction form
    2,249.99/3,105.36 = 1,662.23/x
  3. Step 3: Cross multiply
    2,249.99x = 3,105.36 × 1,662.23
  4. Step 4: Simplify right side
    2,249.99x = 5,161,822.55
  5. Step 5: Solve for x
    x = 5,161,822.55/2,249.99
  6. Step 6: Final answer
    x = 2,294.15

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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.