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Finding the Fourth Proportional to 1,707.59, 2,560.78 and 1,160.23

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Solution

The fourth proportional to 1,707.59, 2,560.78 and 1,160.23 is: 1,739.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.59 : 2,560.78 = 1,160.23 : x
  2. Step 2: Convert to fraction form
    1,707.59/2,560.78 = 1,160.23/x
  3. Step 3: Cross multiply
    1,707.59x = 2,560.78 × 1,160.23
  4. Step 4: Simplify right side
    1,707.59x = 2,971,093.78
  5. Step 5: Solve for x
    x = 2,971,093.78/1,707.59
  6. Step 6: Final answer
    x = 1,739.93

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