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Finding the Fourth Proportional to 1,974.72, 2,962.18 and 1,152.54

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Solution

The fourth proportional to 1,974.72, 2,962.18 and 1,152.54 is: 1,728.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.72 : 2,962.18 = 1,152.54 : x
  2. Step 2: Convert to fraction form
    1,974.72/2,962.18 = 1,152.54/x
  3. Step 3: Cross multiply
    1,974.72x = 2,962.18 × 1,152.54
  4. Step 4: Simplify right side
    1,974.72x = 3,414,030.94
  5. Step 5: Solve for x
    x = 3,414,030.94/1,974.72
  6. Step 6: Final answer
    x = 1,728.87

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