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Finding the Fourth Proportional to 2,906.99, 4,359.82 and 826.95

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Solution

The fourth proportional to 2,906.99, 4,359.82 and 826.95 is: 1,240.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.99 : 4,359.82 = 826.95 : x
  2. Step 2: Convert to fraction form
    2,906.99/4,359.82 = 826.95/x
  3. Step 3: Cross multiply
    2,906.99x = 4,359.82 × 826.95
  4. Step 4: Simplify right side
    2,906.99x = 3,605,353.15
  5. Step 5: Solve for x
    x = 3,605,353.15/2,906.99
  6. Step 6: Final answer
    x = 1,240.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.