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Finding the Fourth Proportional to 2,227.24, 3,339.81 and 666.64

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Solution

The fourth proportional to 2,227.24, 3,339.81 and 666.64 is: 999.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.24 : 3,339.81 = 666.64 : x
  2. Step 2: Convert to fraction form
    2,227.24/3,339.81 = 666.64/x
  3. Step 3: Cross multiply
    2,227.24x = 3,339.81 × 666.64
  4. Step 4: Simplify right side
    2,227.24x = 2,226,450.94
  5. Step 5: Solve for x
    x = 2,226,450.94/2,227.24
  6. Step 6: Final answer
    x = 999.65

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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.