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Finding the Fourth Proportional to 1,846.53, 2,767.64 and 1,023.57

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Solution

The fourth proportional to 1,846.53, 2,767.64 and 1,023.57 is: 1,534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.53 : 2,767.64 = 1,023.57 : x
  2. Step 2: Convert to fraction form
    1,846.53/2,767.64 = 1,023.57/x
  3. Step 3: Cross multiply
    1,846.53x = 2,767.64 × 1,023.57
  4. Step 4: Simplify right side
    1,846.53x = 2,832,868.16
  5. Step 5: Solve for x
    x = 2,832,868.16/1,846.53
  6. Step 6: Final answer
    x = 1,534.16

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