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Finding the Fourth Proportional to 1,728.62, 2,590.75 and 1,361.96

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Solution

The fourth proportional to 1,728.62, 2,590.75 and 1,361.96 is: 2,041.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.62 : 2,590.75 = 1,361.96 : x
  2. Step 2: Convert to fraction form
    1,728.62/2,590.75 = 1,361.96/x
  3. Step 3: Cross multiply
    1,728.62x = 2,590.75 × 1,361.96
  4. Step 4: Simplify right side
    1,728.62x = 3,528,497.87
  5. Step 5: Solve for x
    x = 3,528,497.87/1,728.62
  6. Step 6: Final answer
    x = 2,041.22

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