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Finding the Fourth Proportional to 2,202.71, 3,301.02 and 1,583.66

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Solution

The fourth proportional to 2,202.71, 3,301.02 and 1,583.66 is: 2,373.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.71 : 3,301.02 = 1,583.66 : x
  2. Step 2: Convert to fraction form
    2,202.71/3,301.02 = 1,583.66/x
  3. Step 3: Cross multiply
    2,202.71x = 3,301.02 × 1,583.66
  4. Step 4: Simplify right side
    2,202.71x = 5,227,701.59
  5. Step 5: Solve for x
    x = 5,227,701.59/2,202.71
  6. Step 6: Final answer
    x = 2,373.31

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