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Finding the Fourth Proportional to 1,660.74, 2,495.97 and 1,540.05

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Solution

The fourth proportional to 1,660.74, 2,495.97 and 1,540.05 is: 2,314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.74 : 2,495.97 = 1,540.05 : x
  2. Step 2: Convert to fraction form
    1,660.74/2,495.97 = 1,540.05/x
  3. Step 3: Cross multiply
    1,660.74x = 2,495.97 × 1,540.05
  4. Step 4: Simplify right side
    1,660.74x = 3,843,918.60
  5. Step 5: Solve for x
    x = 3,843,918.60/1,660.74
  6. Step 6: Final answer
    x = 2,314.58

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