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Finding the Fourth Proportional to 1,642.76, 2,464.12 and 1,601.44

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Solution

The fourth proportional to 1,642.76, 2,464.12 and 1,601.44 is: 2,402.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.76 : 2,464.12 = 1,601.44 : x
  2. Step 2: Convert to fraction form
    1,642.76/2,464.12 = 1,601.44/x
  3. Step 3: Cross multiply
    1,642.76x = 2,464.12 × 1,601.44
  4. Step 4: Simplify right side
    1,642.76x = 3,946,140.33
  5. Step 5: Solve for x
    x = 3,946,140.33/1,642.76
  6. Step 6: Final answer
    x = 2,402.14

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