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Finding the Fourth Proportional to 2,564.06, 3,844.73 and 1,004.47

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Solution

The fourth proportional to 2,564.06, 3,844.73 and 1,004.47 is: 1,506.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.06 : 3,844.73 = 1,004.47 : x
  2. Step 2: Convert to fraction form
    2,564.06/3,844.73 = 1,004.47/x
  3. Step 3: Cross multiply
    2,564.06x = 3,844.73 × 1,004.47
  4. Step 4: Simplify right side
    2,564.06x = 3,861,908.84
  5. Step 5: Solve for x
    x = 3,861,908.84/2,564.06
  6. Step 6: Final answer
    x = 1,506.17

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