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Finding the Fourth Proportional to 2,981.67, 4,474.81 and 2,063.64

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Solution

The fourth proportional to 2,981.67, 4,474.81 and 2,063.64 is: 3,097.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.67 : 4,474.81 = 2,063.64 : x
  2. Step 2: Convert to fraction form
    2,981.67/4,474.81 = 2,063.64/x
  3. Step 3: Cross multiply
    2,981.67x = 4,474.81 × 2,063.64
  4. Step 4: Simplify right side
    2,981.67x = 9,234,388.68
  5. Step 5: Solve for x
    x = 9,234,388.68/2,981.67
  6. Step 6: Final answer
    x = 3,097.06

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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.