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Finding the Fourth Proportional to 3,274.76, 4,912.14 and 2,696.42

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Solution

The fourth proportional to 3,274.76, 4,912.14 and 2,696.42 is: 4,044.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.76 : 4,912.14 = 2,696.42 : x
  2. Step 2: Convert to fraction form
    3,274.76/4,912.14 = 2,696.42/x
  3. Step 3: Cross multiply
    3,274.76x = 4,912.14 × 2,696.42
  4. Step 4: Simplify right side
    3,274.76x = 13,245,192.54
  5. Step 5: Solve for x
    x = 13,245,192.54/3,274.76
  6. Step 6: Final answer
    x = 4,044.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.