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Finding the Fourth Proportional to 1,708.94, 2,564.04 and 1,155.80

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Solution

The fourth proportional to 1,708.94, 2,564.04 and 1,155.80 is: 1,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.94 : 2,564.04 = 1,155.80 : x
  2. Step 2: Convert to fraction form
    1,708.94/2,564.04 = 1,155.80/x
  3. Step 3: Cross multiply
    1,708.94x = 2,564.04 × 1,155.80
  4. Step 4: Simplify right side
    1,708.94x = 2,963,517.43
  5. Step 5: Solve for x
    x = 2,963,517.43/1,708.94
  6. Step 6: Final answer
    x = 1,734.13

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