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Finding the Fourth Proportional to 2,906.26, 4,357.96 and 1,446.23

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Solution

The fourth proportional to 2,906.26, 4,357.96 and 1,446.23 is: 2,168.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.26 : 4,357.96 = 1,446.23 : x
  2. Step 2: Convert to fraction form
    2,906.26/4,357.96 = 1,446.23/x
  3. Step 3: Cross multiply
    2,906.26x = 4,357.96 × 1,446.23
  4. Step 4: Simplify right side
    2,906.26x = 6,302,612.49
  5. Step 5: Solve for x
    x = 6,302,612.49/2,906.26
  6. Step 6: Final answer
    x = 2,168.63

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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.