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Finding the Fourth Proportional to 2,267.97, 3,129.62 and 1,273.05

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Solution

The fourth proportional to 2,267.97, 3,129.62 and 1,273.05 is: 1,756.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.97 : 3,129.62 = 1,273.05 : x
  2. Step 2: Convert to fraction form
    2,267.97/3,129.62 = 1,273.05/x
  3. Step 3: Cross multiply
    2,267.97x = 3,129.62 × 1,273.05
  4. Step 4: Simplify right side
    2,267.97x = 3,984,170.57
  5. Step 5: Solve for x
    x = 3,984,170.57/2,267.97
  6. Step 6: Final answer
    x = 1,756.72

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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.