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Finding the Fourth Proportional to 2,224.67, 3,337.20 and 581.21

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Solution

The fourth proportional to 2,224.67, 3,337.20 and 581.21 is: 871.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.67 : 3,337.20 = 581.21 : x
  2. Step 2: Convert to fraction form
    2,224.67/3,337.20 = 581.21/x
  3. Step 3: Cross multiply
    2,224.67x = 3,337.20 × 581.21
  4. Step 4: Simplify right side
    2,224.67x = 1,939,609.84
  5. Step 5: Solve for x
    x = 1,939,609.84/2,224.67
  6. Step 6: Final answer
    x = 871.86

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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.