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Finding the Fourth Proportional to 1,902.68, 2,849.09 and 1,593.77

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Solution

The fourth proportional to 1,902.68, 2,849.09 and 1,593.77 is: 2,386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.68 : 2,849.09 = 1,593.77 : x
  2. Step 2: Convert to fraction form
    1,902.68/2,849.09 = 1,593.77/x
  3. Step 3: Cross multiply
    1,902.68x = 2,849.09 × 1,593.77
  4. Step 4: Simplify right side
    1,902.68x = 4,540,771.96
  5. Step 5: Solve for x
    x = 4,540,771.96/1,902.68
  6. Step 6: Final answer
    x = 2,386.52

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