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Finding the Fourth Proportional to 1,738.80, 2,605.41 and 1,412.55

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Solution

The fourth proportional to 1,738.80, 2,605.41 and 1,412.55 is: 2,116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.80 : 2,605.41 = 1,412.55 : x
  2. Step 2: Convert to fraction form
    1,738.80/2,605.41 = 1,412.55/x
  3. Step 3: Cross multiply
    1,738.80x = 2,605.41 × 1,412.55
  4. Step 4: Simplify right side
    1,738.80x = 3,680,271.90
  5. Step 5: Solve for x
    x = 3,680,271.90/1,738.80
  6. Step 6: Final answer
    x = 2,116.56

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