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Finding the Fourth Proportional to 2,268.49, 3,129.74 and 1,273.63

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Solution

The fourth proportional to 2,268.49, 3,129.74 and 1,273.63 is: 1,757.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.49 : 3,129.74 = 1,273.63 : x
  2. Step 2: Convert to fraction form
    2,268.49/3,129.74 = 1,273.63/x
  3. Step 3: Cross multiply
    2,268.49x = 3,129.74 × 1,273.63
  4. Step 4: Simplify right side
    2,268.49x = 3,986,124.39
  5. Step 5: Solve for x
    x = 3,986,124.39/2,268.49
  6. Step 6: Final answer
    x = 1,757.17

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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.