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Finding the Fourth Proportional to 2,105.98, 2,906.20 and 1,222.06

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Solution

The fourth proportional to 2,105.98, 2,906.20 and 1,222.06 is: 1,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.98 : 2,906.20 = 1,222.06 : x
  2. Step 2: Convert to fraction form
    2,105.98/2,906.20 = 1,222.06/x
  3. Step 3: Cross multiply
    2,105.98x = 2,906.20 × 1,222.06
  4. Step 4: Simplify right side
    2,105.98x = 3,551,550.77
  5. Step 5: Solve for x
    x = 3,551,550.77/2,105.98
  6. Step 6: Final answer
    x = 1,686.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.