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Finding the Fourth Proportional to 2,105.87, 2,906.52 and 1,397.75

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Solution

The fourth proportional to 2,105.87, 2,906.52 and 1,397.75 is: 1,929.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.87 : 2,906.52 = 1,397.75 : x
  2. Step 2: Convert to fraction form
    2,105.87/2,906.52 = 1,397.75/x
  3. Step 3: Cross multiply
    2,105.87x = 2,906.52 × 1,397.75
  4. Step 4: Simplify right side
    2,105.87x = 4,062,573.80
  5. Step 5: Solve for x
    x = 4,062,573.80/2,105.87
  6. Step 6: Final answer
    x = 1,929.17

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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.