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Finding the Fourth Proportional to 2,106.17, 2,906.78 and 1,222.25

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Solution

The fourth proportional to 2,106.17, 2,906.78 and 1,222.25 is: 1,686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.17 : 2,906.78 = 1,222.25 : x
  2. Step 2: Convert to fraction form
    2,106.17/2,906.78 = 1,222.25/x
  3. Step 3: Cross multiply
    2,106.17x = 2,906.78 × 1,222.25
  4. Step 4: Simplify right side
    2,106.17x = 3,552,800.38
  5. Step 5: Solve for x
    x = 3,552,800.38/2,106.17
  6. Step 6: Final answer
    x = 1,686.86

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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.