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Finding the Fourth Proportional to 1,662.24, 2,491.96 and 1,112.76

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Solution

The fourth proportional to 1,662.24, 2,491.96 and 1,112.76 is: 1,668.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.24 : 2,491.96 = 1,112.76 : x
  2. Step 2: Convert to fraction form
    1,662.24/2,491.96 = 1,112.76/x
  3. Step 3: Cross multiply
    1,662.24x = 2,491.96 × 1,112.76
  4. Step 4: Simplify right side
    1,662.24x = 2,772,953.41
  5. Step 5: Solve for x
    x = 2,772,953.41/1,662.24
  6. Step 6: Final answer
    x = 1,668.20

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