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Finding the Fourth Proportional to 2,015.14, 3,022.59 and 628.42

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Solution

The fourth proportional to 2,015.14, 3,022.59 and 628.42 is: 942.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.14 : 3,022.59 = 628.42 : x
  2. Step 2: Convert to fraction form
    2,015.14/3,022.59 = 628.42/x
  3. Step 3: Cross multiply
    2,015.14x = 3,022.59 × 628.42
  4. Step 4: Simplify right side
    2,015.14x = 1,899,456.01
  5. Step 5: Solve for x
    x = 1,899,456.01/2,015.14
  6. Step 6: Final answer
    x = 942.59

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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.