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Finding the Fourth Proportional to 1,609.82, 2,397.34 and 1,591.60

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Solution

The fourth proportional to 1,609.82, 2,397.34 and 1,591.60 is: 2,370.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.82 : 2,397.34 = 1,591.60 : x
  2. Step 2: Convert to fraction form
    1,609.82/2,397.34 = 1,591.60/x
  3. Step 3: Cross multiply
    1,609.82x = 2,397.34 × 1,591.60
  4. Step 4: Simplify right side
    1,609.82x = 3,815,586.40
  5. Step 5: Solve for x
    x = 3,815,586.40/1,609.82
  6. Step 6: Final answer
    x = 2,370.19

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