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Finding the Fourth Proportional to 2,267.87, 3,129.44 and 1,273.50

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Solution

The fourth proportional to 2,267.87, 3,129.44 and 1,273.50 is: 1,757.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.87 : 3,129.44 = 1,273.50 : x
  2. Step 2: Convert to fraction form
    2,267.87/3,129.44 = 1,273.50/x
  3. Step 3: Cross multiply
    2,267.87x = 3,129.44 × 1,273.50
  4. Step 4: Simplify right side
    2,267.87x = 3,985,335.47
  5. Step 5: Solve for x
    x = 3,985,335.47/2,267.87
  6. Step 6: Final answer
    x = 1,757.31

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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.