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Finding the Fourth Proportional to 2,272.72, 3,138.60 and 2,268.40

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Solution

The fourth proportional to 2,272.72, 3,138.60 and 2,268.40 is: 3,132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.72 : 3,138.60 = 2,268.40 : x
  2. Step 2: Convert to fraction form
    2,272.72/3,138.60 = 2,268.40/x
  3. Step 3: Cross multiply
    2,272.72x = 3,138.60 × 2,268.40
  4. Step 4: Simplify right side
    2,272.72x = 7,119,600.24
  5. Step 5: Solve for x
    x = 7,119,600.24/2,272.72
  6. Step 6: Final answer
    x = 3,132.63

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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.