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Finding the Fourth Proportional to 2,006.75, 2,751.27 and 1,969.76

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Solution

The fourth proportional to 2,006.75, 2,751.27 and 1,969.76 is: 2,700.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.75 : 2,751.27 = 1,969.76 : x
  2. Step 2: Convert to fraction form
    2,006.75/2,751.27 = 1,969.76/x
  3. Step 3: Cross multiply
    2,006.75x = 2,751.27 × 1,969.76
  4. Step 4: Simplify right side
    2,006.75x = 5,419,335.23
  5. Step 5: Solve for x
    x = 5,419,335.23/2,006.75
  6. Step 6: Final answer
    x = 2,700.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.