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Finding the Fourth Proportional to 2,906.68, 4,359.57 and 826.78

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Solution

The fourth proportional to 2,906.68, 4,359.57 and 826.78 is: 1,240.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.68 : 4,359.57 = 826.78 : x
  2. Step 2: Convert to fraction form
    2,906.68/4,359.57 = 826.78/x
  3. Step 3: Cross multiply
    2,906.68x = 4,359.57 × 826.78
  4. Step 4: Simplify right side
    2,906.68x = 3,604,405.28
  5. Step 5: Solve for x
    x = 3,604,405.28/2,906.68
  6. Step 6: Final answer
    x = 1,240.04

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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.