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Finding the Fourth Proportional to 1,722.62, 2,584.23 and 749.40

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Solution

The fourth proportional to 1,722.62, 2,584.23 and 749.40 is: 1,124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.62 : 2,584.23 = 749.40 : x
  2. Step 2: Convert to fraction form
    1,722.62/2,584.23 = 749.40/x
  3. Step 3: Cross multiply
    1,722.62x = 2,584.23 × 749.40
  4. Step 4: Simplify right side
    1,722.62x = 1,936,621.96
  5. Step 5: Solve for x
    x = 1,936,621.96/1,722.62
  6. Step 6: Final answer
    x = 1,124.23

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