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Finding the Fourth Proportional to 2,468.24, 3,696.64 and 2,249.52

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Solution

The fourth proportional to 2,468.24, 3,696.64 and 2,249.52 is: 3,369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.24 : 3,696.64 = 2,249.52 : x
  2. Step 2: Convert to fraction form
    2,468.24/3,696.64 = 2,249.52/x
  3. Step 3: Cross multiply
    2,468.24x = 3,696.64 × 2,249.52
  4. Step 4: Simplify right side
    2,468.24x = 8,315,665.61
  5. Step 5: Solve for x
    x = 8,315,665.61/2,468.24
  6. Step 6: Final answer
    x = 3,369.07

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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.