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Finding the Fourth Proportional to 2,016.11, 3,024.27 and 629.63

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Solution

The fourth proportional to 2,016.11, 3,024.27 and 629.63 is: 944.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.11 : 3,024.27 = 629.63 : x
  2. Step 2: Convert to fraction form
    2,016.11/3,024.27 = 629.63/x
  3. Step 3: Cross multiply
    2,016.11x = 3,024.27 × 629.63
  4. Step 4: Simplify right side
    2,016.11x = 1,904,178.68
  5. Step 5: Solve for x
    x = 1,904,178.68/2,016.11
  6. Step 6: Final answer
    x = 944.48

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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.