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Finding the Fourth Proportional to 2,665.44, 4,002.66 and 2,226.24

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Solution

The fourth proportional to 2,665.44, 4,002.66 and 2,226.24 is: 3,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.44 : 4,002.66 = 2,226.24 : x
  2. Step 2: Convert to fraction form
    2,665.44/4,002.66 = 2,226.24/x
  3. Step 3: Cross multiply
    2,665.44x = 4,002.66 × 2,226.24
  4. Step 4: Simplify right side
    2,665.44x = 8,910,881.80
  5. Step 5: Solve for x
    x = 8,910,881.80/2,665.44
  6. Step 6: Final answer
    x = 3,343.12

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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.