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Finding the Fourth Proportional to 1,749.75, 2,623.77 and 824.52

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Solution

The fourth proportional to 1,749.75, 2,623.77 and 824.52 is: 1,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.75 : 2,623.77 = 824.52 : x
  2. Step 2: Convert to fraction form
    1,749.75/2,623.77 = 824.52/x
  3. Step 3: Cross multiply
    1,749.75x = 2,623.77 × 824.52
  4. Step 4: Simplify right side
    1,749.75x = 2,163,350.84
  5. Step 5: Solve for x
    x = 2,163,350.84/1,749.75
  6. Step 6: Final answer
    x = 1,236.38

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