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Finding the Fourth Proportional to 3,274.74, 4,520.76 and 2,232.27

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Solution

The fourth proportional to 3,274.74, 4,520.76 and 2,232.27 is: 3,081.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.74 : 4,520.76 = 2,232.27 : x
  2. Step 2: Convert to fraction form
    3,274.74/4,520.76 = 2,232.27/x
  3. Step 3: Cross multiply
    3,274.74x = 4,520.76 × 2,232.27
  4. Step 4: Simplify right side
    3,274.74x = 10,091,556.93
  5. Step 5: Solve for x
    x = 10,091,556.93/3,274.74
  6. Step 6: Final answer
    x = 3,081.64

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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.