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Finding the Fourth Proportional to 2,584.04, 3,876.09 and 735.20

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Solution

The fourth proportional to 2,584.04, 3,876.09 and 735.20 is: 1,102.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.04 : 3,876.09 = 735.20 : x
  2. Step 2: Convert to fraction form
    2,584.04/3,876.09 = 735.20/x
  3. Step 3: Cross multiply
    2,584.04x = 3,876.09 × 735.20
  4. Step 4: Simplify right side
    2,584.04x = 2,849,701.37
  5. Step 5: Solve for x
    x = 2,849,701.37/2,584.04
  6. Step 6: Final answer
    x = 1,102.81

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