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Finding the Fourth Proportional to 2,138.43, 3,205.22 and 905.07

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Solution

The fourth proportional to 2,138.43, 3,205.22 and 905.07 is: 1,356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.43 : 3,205.22 = 905.07 : x
  2. Step 2: Convert to fraction form
    2,138.43/3,205.22 = 905.07/x
  3. Step 3: Cross multiply
    2,138.43x = 3,205.22 × 905.07
  4. Step 4: Simplify right side
    2,138.43x = 2,900,948.47
  5. Step 5: Solve for x
    x = 2,900,948.47/2,138.43
  6. Step 6: Final answer
    x = 1,356.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.