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Finding the Fourth Proportional to 1,846.81, 2,767.78 and 1,024.66

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Solution

The fourth proportional to 1,846.81, 2,767.78 and 1,024.66 is: 1,535.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.81 : 2,767.78 = 1,024.66 : x
  2. Step 2: Convert to fraction form
    1,846.81/2,767.78 = 1,024.66/x
  3. Step 3: Cross multiply
    1,846.81x = 2,767.78 × 1,024.66
  4. Step 4: Simplify right side
    1,846.81x = 2,836,033.45
  5. Step 5: Solve for x
    x = 2,836,033.45/1,846.81
  6. Step 6: Final answer
    x = 1,535.64

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