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Finding the Fourth Proportional to 2,978.28, 4,467.82 and 1,029.96

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Solution

The fourth proportional to 2,978.28, 4,467.82 and 1,029.96 is: 1,545.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.28 : 4,467.82 = 1,029.96 : x
  2. Step 2: Convert to fraction form
    2,978.28/4,467.82 = 1,029.96/x
  3. Step 3: Cross multiply
    2,978.28x = 4,467.82 × 1,029.96
  4. Step 4: Simplify right side
    2,978.28x = 4,601,675.89
  5. Step 5: Solve for x
    x = 4,601,675.89/2,978.28
  6. Step 6: Final answer
    x = 1,545.08

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