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Finding the Fourth Proportional to 2,652.21, 3,974.40 and 2,003.40

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Solution

The fourth proportional to 2,652.21, 3,974.40 and 2,003.40 is: 3,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.21 : 3,974.40 = 2,003.40 : x
  2. Step 2: Convert to fraction form
    2,652.21/3,974.40 = 2,003.40/x
  3. Step 3: Cross multiply
    2,652.21x = 3,974.40 × 2,003.40
  4. Step 4: Simplify right side
    2,652.21x = 7,962,312.96
  5. Step 5: Solve for x
    x = 7,962,312.96/2,652.21
  6. Step 6: Final answer
    x = 3,002.14

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