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Finding the Fourth Proportional to 1,880.40, 2,815.20 and 1,264.80

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Solution

The fourth proportional to 1,880.40, 2,815.20 and 1,264.80 is: 1,893.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.40 : 2,815.20 = 1,264.80 : x
  2. Step 2: Convert to fraction form
    1,880.40/2,815.20 = 1,264.80/x
  3. Step 3: Cross multiply
    1,880.40x = 2,815.20 × 1,264.80
  4. Step 4: Simplify right side
    1,880.40x = 3,560,664.96
  5. Step 5: Solve for x
    x = 3,560,664.96/1,880.40
  6. Step 6: Final answer
    x = 1,893.57

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