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Finding the Fourth Proportional to 2,273.31, 3,410.07 and 629.82

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Solution

The fourth proportional to 2,273.31, 3,410.07 and 629.82 is: 944.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.31 : 3,410.07 = 629.82 : x
  2. Step 2: Convert to fraction form
    2,273.31/3,410.07 = 629.82/x
  3. Step 3: Cross multiply
    2,273.31x = 3,410.07 × 629.82
  4. Step 4: Simplify right side
    2,273.31x = 2,147,730.29
  5. Step 5: Solve for x
    x = 2,147,730.29/2,273.31
  6. Step 6: Final answer
    x = 944.76

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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.