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Finding the Fourth Proportional to 2,584.97, 3,875.63 and 1,335.03

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Solution

The fourth proportional to 2,584.97, 3,875.63 and 1,335.03 is: 2,001.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.97 : 3,875.63 = 1,335.03 : x
  2. Step 2: Convert to fraction form
    2,584.97/3,875.63 = 1,335.03/x
  3. Step 3: Cross multiply
    2,584.97x = 3,875.63 × 1,335.03
  4. Step 4: Simplify right side
    2,584.97x = 5,174,056.27
  5. Step 5: Solve for x
    x = 5,174,056.27/2,584.97
  6. Step 6: Final answer
    x = 2,001.59

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