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Finding the Fourth Proportional to 1,768.42, 2,645.97 and 1,588.78

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Solution

The fourth proportional to 1,768.42, 2,645.97 and 1,588.78 is: 2,377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.42 : 2,645.97 = 1,588.78 : x
  2. Step 2: Convert to fraction form
    1,768.42/2,645.97 = 1,588.78/x
  3. Step 3: Cross multiply
    1,768.42x = 2,645.97 × 1,588.78
  4. Step 4: Simplify right side
    1,768.42x = 4,203,864.22
  5. Step 5: Solve for x
    x = 4,203,864.22/1,768.42
  6. Step 6: Final answer
    x = 2,377.19

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