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Finding the Fourth Proportional to 2,009.14, 3,014.21 and 622.62

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Solution

The fourth proportional to 2,009.14, 3,014.21 and 622.62 is: 934.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.14 : 3,014.21 = 622.62 : x
  2. Step 2: Convert to fraction form
    2,009.14/3,014.21 = 622.62/x
  3. Step 3: Cross multiply
    2,009.14x = 3,014.21 × 622.62
  4. Step 4: Simplify right side
    2,009.14x = 1,876,708.99
  5. Step 5: Solve for x
    x = 1,876,708.99/2,009.14
  6. Step 6: Final answer
    x = 934.09

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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.