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Finding the Fourth Proportional to 2,981.92, 4,472.76 and 1,226.43

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Solution

The fourth proportional to 2,981.92, 4,472.76 and 1,226.43 is: 1,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.92 : 4,472.76 = 1,226.43 : x
  2. Step 2: Convert to fraction form
    2,981.92/4,472.76 = 1,226.43/x
  3. Step 3: Cross multiply
    2,981.92x = 4,472.76 × 1,226.43
  4. Step 4: Simplify right side
    2,981.92x = 5,485,548.42
  5. Step 5: Solve for x
    x = 5,485,548.42/2,981.92
  6. Step 6: Final answer
    x = 1,839.60

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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.