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Finding the Fourth Proportional to 2,107.46, 2,906.64 and 1,361.49

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Solution

The fourth proportional to 2,107.46, 2,906.64 and 1,361.49 is: 1,877.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.46 : 2,906.64 = 1,361.49 : x
  2. Step 2: Convert to fraction form
    2,107.46/2,906.64 = 1,361.49/x
  3. Step 3: Cross multiply
    2,107.46x = 2,906.64 × 1,361.49
  4. Step 4: Simplify right side
    2,107.46x = 3,957,361.29
  5. Step 5: Solve for x
    x = 3,957,361.29/2,107.46
  6. Step 6: Final answer
    x = 1,877.79

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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.