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Finding the Fourth Proportional to 2,183.54, 3,016.82 and 1,523.34

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Solution

The fourth proportional to 2,183.54, 3,016.82 and 1,523.34 is: 2,104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.54 : 3,016.82 = 1,523.34 : x
  2. Step 2: Convert to fraction form
    2,183.54/3,016.82 = 1,523.34/x
  3. Step 3: Cross multiply
    2,183.54x = 3,016.82 × 1,523.34
  4. Step 4: Simplify right side
    2,183.54x = 4,595,634.96
  5. Step 5: Solve for x
    x = 4,595,634.96/2,183.54
  6. Step 6: Final answer
    x = 2,104.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.