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Finding the Fourth Proportional to 2,227.19, 3,341.26 and 667.32

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Solution

The fourth proportional to 2,227.19, 3,341.26 and 667.32 is: 1,001.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.19 : 3,341.26 = 667.32 : x
  2. Step 2: Convert to fraction form
    2,227.19/3,341.26 = 667.32/x
  3. Step 3: Cross multiply
    2,227.19x = 3,341.26 × 667.32
  4. Step 4: Simplify right side
    2,227.19x = 2,229,689.62
  5. Step 5: Solve for x
    x = 2,229,689.62/2,227.19
  6. Step 6: Final answer
    x = 1,001.12

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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.