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Finding the Fourth Proportional to 2,085.75, 3,128.62 and 1,695.28

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Solution

The fourth proportional to 2,085.75, 3,128.62 and 1,695.28 is: 2,542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.75 : 3,128.62 = 1,695.28 : x
  2. Step 2: Convert to fraction form
    2,085.75/3,128.62 = 1,695.28/x
  3. Step 3: Cross multiply
    2,085.75x = 3,128.62 × 1,695.28
  4. Step 4: Simplify right side
    2,085.75x = 5,303,862.79
  5. Step 5: Solve for x
    x = 5,303,862.79/2,085.75
  6. Step 6: Final answer
    x = 2,542.91

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