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Finding the Fourth Proportional to 2,315.04, 3,470.43 and 852.78

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Solution

The fourth proportional to 2,315.04, 3,470.43 and 852.78 is: 1,278.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.04 : 3,470.43 = 852.78 : x
  2. Step 2: Convert to fraction form
    2,315.04/3,470.43 = 852.78/x
  3. Step 3: Cross multiply
    2,315.04x = 3,470.43 × 852.78
  4. Step 4: Simplify right side
    2,315.04x = 2,959,513.30
  5. Step 5: Solve for x
    x = 2,959,513.30/2,315.04
  6. Step 6: Final answer
    x = 1,278.39

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