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Finding the Fourth Proportional to 2,273.72, 3,410.78 and 974.88

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Solution

The fourth proportional to 2,273.72, 3,410.78 and 974.88 is: 1,462.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.72 : 3,410.78 = 974.88 : x
  2. Step 2: Convert to fraction form
    2,273.72/3,410.78 = 974.88/x
  3. Step 3: Cross multiply
    2,273.72x = 3,410.78 × 974.88
  4. Step 4: Simplify right side
    2,273.72x = 3,325,096.33
  5. Step 5: Solve for x
    x = 3,325,096.33/2,273.72
  6. Step 6: Final answer
    x = 1,462.41

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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.