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Finding the Fourth Proportional to 2,016.54, 3,024.99 and 629.82

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Solution

The fourth proportional to 2,016.54, 3,024.99 and 629.82 is: 944.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.54 : 3,024.99 = 629.82 : x
  2. Step 2: Convert to fraction form
    2,016.54/3,024.99 = 629.82/x
  3. Step 3: Cross multiply
    2,016.54x = 3,024.99 × 629.82
  4. Step 4: Simplify right side
    2,016.54x = 1,905,199.20
  5. Step 5: Solve for x
    x = 1,905,199.20/2,016.54
  6. Step 6: Final answer
    x = 944.79

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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.