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Finding the Fourth Proportional to 1,662.84, 2,491.83 and 1,541.34

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Solution

The fourth proportional to 1,662.84, 2,491.83 and 1,541.34 is: 2,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.84 : 2,491.83 = 1,541.34 : x
  2. Step 2: Convert to fraction form
    1,662.84/2,491.83 = 1,541.34/x
  3. Step 3: Cross multiply
    1,662.84x = 2,491.83 × 1,541.34
  4. Step 4: Simplify right side
    1,662.84x = 3,840,757.25
  5. Step 5: Solve for x
    x = 3,840,757.25/1,662.84
  6. Step 6: Final answer
    x = 2,309.76

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