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Finding the Fourth Proportional to 2,566.85, 3,857.10 and 1,397.71

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Solution

The fourth proportional to 2,566.85, 3,857.10 and 1,397.71 is: 2,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.85 : 3,857.10 = 1,397.71 : x
  2. Step 2: Convert to fraction form
    2,566.85/3,857.10 = 1,397.71/x
  3. Step 3: Cross multiply
    2,566.85x = 3,857.10 × 1,397.71
  4. Step 4: Simplify right side
    2,566.85x = 5,391,107.24
  5. Step 5: Solve for x
    x = 5,391,107.24/2,566.85
  6. Step 6: Final answer
    x = 2,100.29

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