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Finding the Fourth Proportional to 1,642.96, 2,463.64 and 1,123.76

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Solution

The fourth proportional to 1,642.96, 2,463.64 and 1,123.76 is: 1,685.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.96 : 2,463.64 = 1,123.76 : x
  2. Step 2: Convert to fraction form
    1,642.96/2,463.64 = 1,123.76/x
  3. Step 3: Cross multiply
    1,642.96x = 2,463.64 × 1,123.76
  4. Step 4: Simplify right side
    1,642.96x = 2,768,540.09
  5. Step 5: Solve for x
    x = 2,768,540.09/1,642.96
  6. Step 6: Final answer
    x = 1,685.09

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