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Finding the Fourth Proportional to 2,262.77, 3,122.24 and 1,268.09

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Solution

The fourth proportional to 2,262.77, 3,122.24 and 1,268.09 is: 1,749.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.77 : 3,122.24 = 1,268.09 : x
  2. Step 2: Convert to fraction form
    2,262.77/3,122.24 = 1,268.09/x
  3. Step 3: Cross multiply
    2,262.77x = 3,122.24 × 1,268.09
  4. Step 4: Simplify right side
    2,262.77x = 3,959,259.37
  5. Step 5: Solve for x
    x = 3,959,259.37/2,262.77
  6. Step 6: Final answer
    x = 1,749.74

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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.