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Finding the Fourth Proportional to 2,016.41, 3,024.57 and 629.75

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Solution

The fourth proportional to 2,016.41, 3,024.57 and 629.75 is: 944.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.41 : 3,024.57 = 629.75 : x
  2. Step 2: Convert to fraction form
    2,016.41/3,024.57 = 629.75/x
  3. Step 3: Cross multiply
    2,016.41x = 3,024.57 × 629.75
  4. Step 4: Simplify right side
    2,016.41x = 1,904,707.83
  5. Step 5: Solve for x
    x = 1,904,707.83/2,016.41
  6. Step 6: Final answer
    x = 944.61

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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.