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Finding the Fourth Proportional to 2,009.97, 3,013.86 and 622.71

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Solution

The fourth proportional to 2,009.97, 3,013.86 and 622.71 is: 933.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.97 : 3,013.86 = 622.71 : x
  2. Step 2: Convert to fraction form
    2,009.97/3,013.86 = 622.71/x
  3. Step 3: Cross multiply
    2,009.97x = 3,013.86 × 622.71
  4. Step 4: Simplify right side
    2,009.97x = 1,876,760.76
  5. Step 5: Solve for x
    x = 1,876,760.76/2,009.97
  6. Step 6: Final answer
    x = 933.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.