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Finding the Fourth Proportional to 1,738.56, 2,606.70 and 1,160.28

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Solution

The fourth proportional to 1,738.56, 2,606.70 and 1,160.28 is: 1,739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.56 : 2,606.70 = 1,160.28 : x
  2. Step 2: Convert to fraction form
    1,738.56/2,606.70 = 1,160.28/x
  3. Step 3: Cross multiply
    1,738.56x = 2,606.70 × 1,160.28
  4. Step 4: Simplify right side
    1,738.56x = 3,024,501.88
  5. Step 5: Solve for x
    x = 3,024,501.88/1,738.56
  6. Step 6: Final answer
    x = 1,739.66

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