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Finding the Fourth Proportional to 1,583.38, 2,375.55 and 1,122.06

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Solution

The fourth proportional to 1,583.38, 2,375.55 and 1,122.06 is: 1,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.38 : 2,375.55 = 1,122.06 : x
  2. Step 2: Convert to fraction form
    1,583.38/2,375.55 = 1,122.06/x
  3. Step 3: Cross multiply
    1,583.38x = 2,375.55 × 1,122.06
  4. Step 4: Simplify right side
    1,583.38x = 2,665,497.76
  5. Step 5: Solve for x
    x = 2,665,497.76/1,583.38
  6. Step 6: Final answer
    x = 1,683.42

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