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Finding the Fourth Proportional to 1,581.92, 2,184.40 and 1,188.24

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Solution

The fourth proportional to 1,581.92, 2,184.40 and 1,188.24 is: 1,640.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.92 : 2,184.40 = 1,188.24 : x
  2. Step 2: Convert to fraction form
    1,581.92/2,184.40 = 1,188.24/x
  3. Step 3: Cross multiply
    1,581.92x = 2,184.40 × 1,188.24
  4. Step 4: Simplify right side
    1,581.92x = 2,595,591.46
  5. Step 5: Solve for x
    x = 2,595,591.46/1,581.92
  6. Step 6: Final answer
    x = 1,640.79

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