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Finding the Fourth Proportional to 2,223.18, 3,334.20 and 662.82

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Solution

The fourth proportional to 2,223.18, 3,334.20 and 662.82 is: 994.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.18 : 3,334.20 = 662.82 : x
  2. Step 2: Convert to fraction form
    2,223.18/3,334.20 = 662.82/x
  3. Step 3: Cross multiply
    2,223.18x = 3,334.20 × 662.82
  4. Step 4: Simplify right side
    2,223.18x = 2,209,974.44
  5. Step 5: Solve for x
    x = 2,209,974.44/2,223.18
  6. Step 6: Final answer
    x = 994.06

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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.