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Finding the Fourth Proportional to 2,016.33, 3,023.42 and 699.75

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Solution

The fourth proportional to 2,016.33, 3,023.42 and 699.75 is: 1,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.33 : 3,023.42 = 699.75 : x
  2. Step 2: Convert to fraction form
    2,016.33/3,023.42 = 699.75/x
  3. Step 3: Cross multiply
    2,016.33x = 3,023.42 × 699.75
  4. Step 4: Simplify right side
    2,016.33x = 2,115,638.15
  5. Step 5: Solve for x
    x = 2,115,638.15/2,016.33
  6. Step 6: Final answer
    x = 1,049.25

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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.