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Finding the Fourth Proportional to 2,462.31, 3,694.14 and 1,075.77

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Solution

The fourth proportional to 2,462.31, 3,694.14 and 1,075.77 is: 1,613.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.31 : 3,694.14 = 1,075.77 : x
  2. Step 2: Convert to fraction form
    2,462.31/3,694.14 = 1,075.77/x
  3. Step 3: Cross multiply
    2,462.31x = 3,694.14 × 1,075.77
  4. Step 4: Simplify right side
    2,462.31x = 3,974,044.99
  5. Step 5: Solve for x
    x = 3,974,044.99/2,462.31
  6. Step 6: Final answer
    x = 1,613.95

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