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Finding the Fourth Proportional to 1,674.75, 2,512.13 and 578.82

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Solution

The fourth proportional to 1,674.75, 2,512.13 and 578.82 is: 868.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.75 : 2,512.13 = 578.82 : x
  2. Step 2: Convert to fraction form
    1,674.75/2,512.13 = 578.82/x
  3. Step 3: Cross multiply
    1,674.75x = 2,512.13 × 578.82
  4. Step 4: Simplify right side
    1,674.75x = 1,454,068.19
  5. Step 5: Solve for x
    x = 1,454,068.19/1,674.75
  6. Step 6: Final answer
    x = 868.23

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