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Finding the Fourth Proportional to 1,576.92, 2,366.91 and 1,164.80

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Solution

The fourth proportional to 1,576.92, 2,366.91 and 1,164.80 is: 1,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.92 : 2,366.91 = 1,164.80 : x
  2. Step 2: Convert to fraction form
    1,576.92/2,366.91 = 1,164.80/x
  3. Step 3: Cross multiply
    1,576.92x = 2,366.91 × 1,164.80
  4. Step 4: Simplify right side
    1,576.92x = 2,756,976.77
  5. Step 5: Solve for x
    x = 2,756,976.77/1,576.92
  6. Step 6: Final answer
    x = 1,748.33

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