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Finding the Fourth Proportional to 1,782.14, 2,669.10 and 1,234.71

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Solution

The fourth proportional to 1,782.14, 2,669.10 and 1,234.71 is: 1,849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.14 : 2,669.10 = 1,234.71 : x
  2. Step 2: Convert to fraction form
    1,782.14/2,669.10 = 1,234.71/x
  3. Step 3: Cross multiply
    1,782.14x = 2,669.10 × 1,234.71
  4. Step 4: Simplify right side
    1,782.14x = 3,295,564.46
  5. Step 5: Solve for x
    x = 3,295,564.46/1,782.14
  6. Step 6: Final answer
    x = 1,849.22

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