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Finding the Fourth Proportional to 2,105.09, 2,906.24 and 1,397.90

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Solution

The fourth proportional to 2,105.09, 2,906.24 and 1,397.90 is: 1,929.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.09 : 2,906.24 = 1,397.90 : x
  2. Step 2: Convert to fraction form
    2,105.09/2,906.24 = 1,397.90/x
  3. Step 3: Cross multiply
    2,105.09x = 2,906.24 × 1,397.90
  4. Step 4: Simplify right side
    2,105.09x = 4,062,632.90
  5. Step 5: Solve for x
    x = 4,062,632.90/2,105.09
  6. Step 6: Final answer
    x = 1,929.91

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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.