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Finding the Fourth Proportional to 1,164.23, 1,738.01 and 1,123.73

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Solution

The fourth proportional to 1,164.23, 1,738.01 and 1,123.73 is: 1,677.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.23 : 1,738.01 = 1,123.73 : x
  2. Step 2: Convert to fraction form
    1,164.23/1,738.01 = 1,123.73/x
  3. Step 3: Cross multiply
    1,164.23x = 1,738.01 × 1,123.73
  4. Step 4: Simplify right side
    1,164.23x = 1,953,053.98
  5. Step 5: Solve for x
    x = 1,953,053.98/1,164.23
  6. Step 6: Final answer
    x = 1,677.55

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