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Finding the Fourth Proportional to 2,593.87, 3,893.24 and 1,208.16

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Solution

The fourth proportional to 2,593.87, 3,893.24 and 1,208.16 is: 1,813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.87 : 3,893.24 = 1,208.16 : x
  2. Step 2: Convert to fraction form
    2,593.87/3,893.24 = 1,208.16/x
  3. Step 3: Cross multiply
    2,593.87x = 3,893.24 × 1,208.16
  4. Step 4: Simplify right side
    2,593.87x = 4,703,660.53
  5. Step 5: Solve for x
    x = 4,703,660.53/2,593.87
  6. Step 6: Final answer
    x = 1,813.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.