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Finding the Fourth Proportional to 2,105.86, 2,906.08 and 1,222.18

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Solution

The fourth proportional to 2,105.86, 2,906.08 and 1,222.18 is: 1,686.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.86 : 2,906.08 = 1,222.18 : x
  2. Step 2: Convert to fraction form
    2,105.86/2,906.08 = 1,222.18/x
  3. Step 3: Cross multiply
    2,105.86x = 2,906.08 × 1,222.18
  4. Step 4: Simplify right side
    2,105.86x = 3,551,752.85
  5. Step 5: Solve for x
    x = 3,551,752.85/2,105.86
  6. Step 6: Final answer
    x = 1,686.60

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