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Finding the Fourth Proportional to 1,684.83, 2,525.70 and 1,546.47

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Solution

The fourth proportional to 1,684.83, 2,525.70 and 1,546.47 is: 2,318.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.83 : 2,525.70 = 1,546.47 : x
  2. Step 2: Convert to fraction form
    1,684.83/2,525.70 = 1,546.47/x
  3. Step 3: Cross multiply
    1,684.83x = 2,525.70 × 1,546.47
  4. Step 4: Simplify right side
    1,684.83x = 3,905,919.28
  5. Step 5: Solve for x
    x = 3,905,919.28/1,684.83
  6. Step 6: Final answer
    x = 2,318.29

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