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Finding the Fourth Proportional to 1,738.80, 2,605.77 and 1,305.45

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Solution

The fourth proportional to 1,738.80, 2,605.77 and 1,305.45 is: 1,956.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.80 : 2,605.77 = 1,305.45 : x
  2. Step 2: Convert to fraction form
    1,738.80/2,605.77 = 1,305.45/x
  3. Step 3: Cross multiply
    1,738.80x = 2,605.77 × 1,305.45
  4. Step 4: Simplify right side
    1,738.80x = 3,401,702.45
  5. Step 5: Solve for x
    x = 3,401,702.45/1,738.80
  6. Step 6: Final answer
    x = 1,956.35

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