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Finding the Fourth Proportional to 1,588.92, 2,380.32 and 1,201.43

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Solution

The fourth proportional to 1,588.92, 2,380.32 and 1,201.43 is: 1,799.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.92 : 2,380.32 = 1,201.43 : x
  2. Step 2: Convert to fraction form
    1,588.92/2,380.32 = 1,201.43/x
  3. Step 3: Cross multiply
    1,588.92x = 2,380.32 × 1,201.43
  4. Step 4: Simplify right side
    1,588.92x = 2,859,775.96
  5. Step 5: Solve for x
    x = 2,859,775.96/1,588.92
  6. Step 6: Final answer
    x = 1,799.82

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