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Finding the Fourth Proportional to 1,609.64, 2,412.38 and 1,390.23

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Solution

The fourth proportional to 1,609.64, 2,412.38 and 1,390.23 is: 2,083.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.64 : 2,412.38 = 1,390.23 : x
  2. Step 2: Convert to fraction form
    1,609.64/2,412.38 = 1,390.23/x
  3. Step 3: Cross multiply
    1,609.64x = 2,412.38 × 1,390.23
  4. Step 4: Simplify right side
    1,609.64x = 3,353,766.52
  5. Step 5: Solve for x
    x = 3,353,766.52/1,609.64
  6. Step 6: Final answer
    x = 2,083.55

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