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Finding the Fourth Proportional to 2,906.22, 4,358.67 and 826.18

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Solution

The fourth proportional to 2,906.22, 4,358.67 and 826.18 is: 1,239.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.22 : 4,358.67 = 826.18 : x
  2. Step 2: Convert to fraction form
    2,906.22/4,358.67 = 826.18/x
  3. Step 3: Cross multiply
    2,906.22x = 4,358.67 × 826.18
  4. Step 4: Simplify right side
    2,906.22x = 3,601,045.09
  5. Step 5: Solve for x
    x = 3,601,045.09/2,906.22
  6. Step 6: Final answer
    x = 1,239.08

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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.