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Finding the Fourth Proportional to 1,796, 2,694 and 580

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Solution

The fourth proportional to 1,796, 2,694 and 580 is: 870

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796 : 2,694 = 580 : x
  2. Step 2: Convert to fraction form
    1,796/2,694 = 580/x
  3. Step 3: Cross multiply
    1,796x = 2,694 × 580
  4. Step 4: Simplify right side
    1,796x = 1,562,520
  5. Step 5: Solve for x
    x = 1,562,520/1,796
  6. Step 6: Final answer
    x = 870

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