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Finding the Fourth Proportional to 2,646.29, 3,969.75 and 1,004.06

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Solution

The fourth proportional to 2,646.29, 3,969.75 and 1,004.06 is: 1,506.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.29 : 3,969.75 = 1,004.06 : x
  2. Step 2: Convert to fraction form
    2,646.29/3,969.75 = 1,004.06/x
  3. Step 3: Cross multiply
    2,646.29x = 3,969.75 × 1,004.06
  4. Step 4: Simplify right side
    2,646.29x = 3,985,867.19
  5. Step 5: Solve for x
    x = 3,985,867.19/2,646.29
  6. Step 6: Final answer
    x = 1,506.21

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