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Finding the Fourth Proportional to 2,009.40, 3,013.02 and 622.14

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Solution

The fourth proportional to 2,009.40, 3,013.02 and 622.14 is: 932.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.40 : 3,013.02 = 622.14 : x
  2. Step 2: Convert to fraction form
    2,009.40/3,013.02 = 622.14/x
  3. Step 3: Cross multiply
    2,009.40x = 3,013.02 × 622.14
  4. Step 4: Simplify right side
    2,009.40x = 1,874,520.26
  5. Step 5: Solve for x
    x = 1,874,520.26/2,009.40
  6. Step 6: Final answer
    x = 932.88

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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.