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Finding the Fourth Proportional to 1,920.23, 2,880.46 and 687.61

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Solution

The fourth proportional to 1,920.23, 2,880.46 and 687.61 is: 1,031.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.23 : 2,880.46 = 687.61 : x
  2. Step 2: Convert to fraction form
    1,920.23/2,880.46 = 687.61/x
  3. Step 3: Cross multiply
    1,920.23x = 2,880.46 × 687.61
  4. Step 4: Simplify right side
    1,920.23x = 1,980,645.66
  5. Step 5: Solve for x
    x = 1,980,645.66/1,920.23
  6. Step 6: Final answer
    x = 1,031.46

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