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Finding the Fourth Proportional to 2,103.78, 3,156.15 and 643.05

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Solution

The fourth proportional to 2,103.78, 3,156.15 and 643.05 is: 964.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.78 : 3,156.15 = 643.05 : x
  2. Step 2: Convert to fraction form
    2,103.78/3,156.15 = 643.05/x
  3. Step 3: Cross multiply
    2,103.78x = 3,156.15 × 643.05
  4. Step 4: Simplify right side
    2,103.78x = 2,029,562.26
  5. Step 5: Solve for x
    x = 2,029,562.26/2,103.78
  6. Step 6: Final answer
    x = 964.72

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