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Finding the Fourth Proportional to 2,939.78, 4,410.05 and 964.73

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Solution

The fourth proportional to 2,939.78, 4,410.05 and 964.73 is: 1,447.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.78 : 4,410.05 = 964.73 : x
  2. Step 2: Convert to fraction form
    2,939.78/4,410.05 = 964.73/x
  3. Step 3: Cross multiply
    2,939.78x = 4,410.05 × 964.73
  4. Step 4: Simplify right side
    2,939.78x = 4,254,507.54
  5. Step 5: Solve for x
    x = 4,254,507.54/2,939.78
  6. Step 6: Final answer
    x = 1,447.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.