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Finding the Fourth Proportional to 2,267.70, 3,129.60 and 1,273.02

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Solution

The fourth proportional to 2,267.70, 3,129.60 and 1,273.02 is: 1,756.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.70 : 3,129.60 = 1,273.02 : x
  2. Step 2: Convert to fraction form
    2,267.70/3,129.60 = 1,273.02/x
  3. Step 3: Cross multiply
    2,267.70x = 3,129.60 × 1,273.02
  4. Step 4: Simplify right side
    2,267.70x = 3,984,043.39
  5. Step 5: Solve for x
    x = 3,984,043.39/2,267.70
  6. Step 6: Final answer
    x = 1,756.87

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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.