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Finding the Fourth Proportional to 2,006.28, 2,768.25 and 1,447.58

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Solution

The fourth proportional to 2,006.28, 2,768.25 and 1,447.58 is: 1,997.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.28 : 2,768.25 = 1,447.58 : x
  2. Step 2: Convert to fraction form
    2,006.28/2,768.25 = 1,447.58/x
  3. Step 3: Cross multiply
    2,006.28x = 2,768.25 × 1,447.58
  4. Step 4: Simplify right side
    2,006.28x = 4,007,275.68
  5. Step 5: Solve for x
    x = 4,007,275.68/2,006.28
  6. Step 6: Final answer
    x = 1,997.37

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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.