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Finding the Fourth Proportional to 2,016.14, 3,024.30 and 629.52

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Solution

The fourth proportional to 2,016.14, 3,024.30 and 629.52 is: 944.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.14 : 3,024.30 = 629.52 : x
  2. Step 2: Convert to fraction form
    2,016.14/3,024.30 = 629.52/x
  3. Step 3: Cross multiply
    2,016.14x = 3,024.30 × 629.52
  4. Step 4: Simplify right side
    2,016.14x = 1,903,857.34
  5. Step 5: Solve for x
    x = 1,903,857.34/2,016.14
  6. Step 6: Final answer
    x = 944.31

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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.