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Finding the Fourth Proportional to 2,222.12, 3,333.20 and 662.14

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Solution

The fourth proportional to 2,222.12, 3,333.20 and 662.14 is: 993.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.12 : 3,333.20 = 662.14 : x
  2. Step 2: Convert to fraction form
    2,222.12/3,333.20 = 662.14/x
  3. Step 3: Cross multiply
    2,222.12x = 3,333.20 × 662.14
  4. Step 4: Simplify right side
    2,222.12x = 2,207,045.05
  5. Step 5: Solve for x
    x = 2,207,045.05/2,222.12
  6. Step 6: Final answer
    x = 993.22

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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.