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Finding the Fourth Proportional to 2,356.82, 3,535.81 and 1,664.84

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Solution

The fourth proportional to 2,356.82, 3,535.81 and 1,664.84 is: 2,497.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.82 : 3,535.81 = 1,664.84 : x
  2. Step 2: Convert to fraction form
    2,356.82/3,535.81 = 1,664.84/x
  3. Step 3: Cross multiply
    2,356.82x = 3,535.81 × 1,664.84
  4. Step 4: Simplify right side
    2,356.82x = 5,886,557.92
  5. Step 5: Solve for x
    x = 5,886,557.92/2,356.82
  6. Step 6: Final answer
    x = 2,497.67

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