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Finding the Fourth Proportional to 2,635.83, 3,956.79 and 1,540.98

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Solution

The fourth proportional to 2,635.83, 3,956.79 and 1,540.98 is: 2,313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.83 : 3,956.79 = 1,540.98 : x
  2. Step 2: Convert to fraction form
    2,635.83/3,956.79 = 1,540.98/x
  3. Step 3: Cross multiply
    2,635.83x = 3,956.79 × 1,540.98
  4. Step 4: Simplify right side
    2,635.83x = 6,097,334.25
  5. Step 5: Solve for x
    x = 6,097,334.25/2,635.83
  6. Step 6: Final answer
    x = 2,313.25

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