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Finding the Fourth Proportional to 2,593.36, 3,884.64 and 1,936.20

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Solution

The fourth proportional to 2,593.36, 3,884.64 and 1,936.20 is: 2,900.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.36 : 3,884.64 = 1,936.20 : x
  2. Step 2: Convert to fraction form
    2,593.36/3,884.64 = 1,936.20/x
  3. Step 3: Cross multiply
    2,593.36x = 3,884.64 × 1,936.20
  4. Step 4: Simplify right side
    2,593.36x = 7,521,439.97
  5. Step 5: Solve for x
    x = 7,521,439.97/2,593.36
  6. Step 6: Final answer
    x = 2,900.27

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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.