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Finding the Fourth Proportional to 1,767.42, 2,644.47 and 1,587.78

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Solution

The fourth proportional to 1,767.42, 2,644.47 and 1,587.78 is: 2,375.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.42 : 2,644.47 = 1,587.78 : x
  2. Step 2: Convert to fraction form
    1,767.42/2,644.47 = 1,587.78/x
  3. Step 3: Cross multiply
    1,767.42x = 2,644.47 × 1,587.78
  4. Step 4: Simplify right side
    1,767.42x = 4,198,836.58
  5. Step 5: Solve for x
    x = 4,198,836.58/1,767.42
  6. Step 6: Final answer
    x = 2,375.69

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