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Finding the Fourth Proportional to 2,493.84, 3,738.70 and 1,383.20

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Solution

The fourth proportional to 2,493.84, 3,738.70 and 1,383.20 is: 2,073.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.84 : 3,738.70 = 1,383.20 : x
  2. Step 2: Convert to fraction form
    2,493.84/3,738.70 = 1,383.20/x
  3. Step 3: Cross multiply
    2,493.84x = 3,738.70 × 1,383.20
  4. Step 4: Simplify right side
    2,493.84x = 5,171,369.84
  5. Step 5: Solve for x
    x = 5,171,369.84/2,493.84
  6. Step 6: Final answer
    x = 2,073.66

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