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Finding the Fourth Proportional to 2,802.32, 4,204.02 and 1,829.24

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Solution

The fourth proportional to 2,802.32, 4,204.02 and 1,829.24 is: 2,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.32 : 4,204.02 = 1,829.24 : x
  2. Step 2: Convert to fraction form
    2,802.32/4,204.02 = 1,829.24/x
  3. Step 3: Cross multiply
    2,802.32x = 4,204.02 × 1,829.24
  4. Step 4: Simplify right side
    2,802.32x = 7,690,161.54
  5. Step 5: Solve for x
    x = 7,690,161.54/2,802.32
  6. Step 6: Final answer
    x = 2,744.21

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