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Finding the Fourth Proportional to 2,974.86, 4,093.74 and 2,402.73

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Solution

The fourth proportional to 2,974.86, 4,093.74 and 2,402.73 is: 3,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.86 : 4,093.74 = 2,402.73 : x
  2. Step 2: Convert to fraction form
    2,974.86/4,093.74 = 2,402.73/x
  3. Step 3: Cross multiply
    2,974.86x = 4,093.74 × 2,402.73
  4. Step 4: Simplify right side
    2,974.86x = 9,836,151.91
  5. Step 5: Solve for x
    x = 9,836,151.91/2,974.86
  6. Step 6: Final answer
    x = 3,306.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.