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Finding the Fourth Proportional to 1,665.73, 2,498.45 and 1,535.23

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Solution

The fourth proportional to 1,665.73, 2,498.45 and 1,535.23 is: 2,302.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.73 : 2,498.45 = 1,535.23 : x
  2. Step 2: Convert to fraction form
    1,665.73/2,498.45 = 1,535.23/x
  3. Step 3: Cross multiply
    1,665.73x = 2,498.45 × 1,535.23
  4. Step 4: Simplify right side
    1,665.73x = 3,835,687.72
  5. Step 5: Solve for x
    x = 3,835,687.72/1,665.73
  6. Step 6: Final answer
    x = 2,302.71

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