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Finding the Fourth Proportional to 1,290.54, 1,938.30 and 1,105.86

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Solution

The fourth proportional to 1,290.54, 1,938.30 and 1,105.86 is: 1,660.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.54 : 1,938.30 = 1,105.86 : x
  2. Step 2: Convert to fraction form
    1,290.54/1,938.30 = 1,105.86/x
  3. Step 3: Cross multiply
    1,290.54x = 1,938.30 × 1,105.86
  4. Step 4: Simplify right side
    1,290.54x = 2,143,488.44
  5. Step 5: Solve for x
    x = 2,143,488.44/1,290.54
  6. Step 6: Final answer
    x = 1,660.92

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