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Finding the Fourth Proportional to 2,106.66, 2,906.55 and 1,222.29

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Solution

The fourth proportional to 2,106.66, 2,906.55 and 1,222.29 is: 1,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.66 : 2,906.55 = 1,222.29 : x
  2. Step 2: Convert to fraction form
    2,106.66/2,906.55 = 1,222.29/x
  3. Step 3: Cross multiply
    2,106.66x = 2,906.55 × 1,222.29
  4. Step 4: Simplify right side
    2,106.66x = 3,552,641.84
  5. Step 5: Solve for x
    x = 3,552,641.84/2,106.66
  6. Step 6: Final answer
    x = 1,686.39

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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.