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Finding the Fourth Proportional to 2,106.93, 2,906.85 and 1,222.41

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Solution

The fourth proportional to 2,106.93, 2,906.85 and 1,222.41 is: 1,686.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.93 : 2,906.85 = 1,222.41 : x
  2. Step 2: Convert to fraction form
    2,106.93/2,906.85 = 1,222.41/x
  3. Step 3: Cross multiply
    2,106.93x = 2,906.85 × 1,222.41
  4. Step 4: Simplify right side
    2,106.93x = 3,553,362.51
  5. Step 5: Solve for x
    x = 3,553,362.51/2,106.93
  6. Step 6: Final answer
    x = 1,686.51

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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.