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Finding the Fourth Proportional to 4,523.67, 6,786.24 and 1,601.34

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Solution

The fourth proportional to 4,523.67, 6,786.24 and 1,601.34 is: 2,402.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,523.67 : 6,786.24 = 1,601.34 : x
  2. Step 2: Convert to fraction form
    4,523.67/6,786.24 = 1,601.34/x
  3. Step 3: Cross multiply
    4,523.67x = 6,786.24 × 1,601.34
  4. Step 4: Simplify right side
    4,523.67x = 10,867,077.56
  5. Step 5: Solve for x
    x = 10,867,077.56/4,523.67
  6. Step 6: Final answer
    x = 2,402.27

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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.