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Finding the Fourth Proportional to 1,585.22, 2,375.12 and 1,122.23

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Solution

The fourth proportional to 1,585.22, 2,375.12 and 1,122.23 is: 1,681.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.22 : 2,375.12 = 1,122.23 : x
  2. Step 2: Convert to fraction form
    1,585.22/2,375.12 = 1,122.23/x
  3. Step 3: Cross multiply
    1,585.22x = 2,375.12 × 1,122.23
  4. Step 4: Simplify right side
    1,585.22x = 2,665,432.98
  5. Step 5: Solve for x
    x = 2,665,432.98/1,585.22
  6. Step 6: Final answer
    x = 1,681.43

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