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Finding the Fourth Proportional to 2,174.88, 3,255.84 and 1,588.80

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Solution

The fourth proportional to 2,174.88, 3,255.84 and 1,588.80 is: 2,378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.88 : 3,255.84 = 1,588.80 : x
  2. Step 2: Convert to fraction form
    2,174.88/3,255.84 = 1,588.80/x
  3. Step 3: Cross multiply
    2,174.88x = 3,255.84 × 1,588.80
  4. Step 4: Simplify right side
    2,174.88x = 5,172,878.59
  5. Step 5: Solve for x
    x = 5,172,878.59/2,174.88
  6. Step 6: Final answer
    x = 2,378.47

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