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Finding the Fourth Proportional to 1,664.56, 2,491.80 and 1,337.20

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Solution

The fourth proportional to 1,664.56, 2,491.80 and 1,337.20 is: 2,001.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.56 : 2,491.80 = 1,337.20 : x
  2. Step 2: Convert to fraction form
    1,664.56/2,491.80 = 1,337.20/x
  3. Step 3: Cross multiply
    1,664.56x = 2,491.80 × 1,337.20
  4. Step 4: Simplify right side
    1,664.56x = 3,332,034.96
  5. Step 5: Solve for x
    x = 3,332,034.96/1,664.56
  6. Step 6: Final answer
    x = 2,001.75

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