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Finding the Fourth Proportional to 2,207.11, 3,309.83 and 890.42

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Solution

The fourth proportional to 2,207.11, 3,309.83 and 890.42 is: 1,335.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.11 : 3,309.83 = 890.42 : x
  2. Step 2: Convert to fraction form
    2,207.11/3,309.83 = 890.42/x
  3. Step 3: Cross multiply
    2,207.11x = 3,309.83 × 890.42
  4. Step 4: Simplify right side
    2,207.11x = 2,947,138.83
  5. Step 5: Solve for x
    x = 2,947,138.83/2,207.11
  6. Step 6: Final answer
    x = 1,335.29

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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.