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Finding the Fourth Proportional to 1,983.93, 2,735.50 and 1,609.74

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Solution

The fourth proportional to 1,983.93, 2,735.50 and 1,609.74 is: 2,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.93 : 2,735.50 = 1,609.74 : x
  2. Step 2: Convert to fraction form
    1,983.93/2,735.50 = 1,609.74/x
  3. Step 3: Cross multiply
    1,983.93x = 2,735.50 × 1,609.74
  4. Step 4: Simplify right side
    1,983.93x = 4,403,443.77
  5. Step 5: Solve for x
    x = 4,403,443.77/1,983.93
  6. Step 6: Final answer
    x = 2,219.56

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