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Finding the Fourth Proportional to 2,009.20, 3,014.01 and 622.48

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Solution

The fourth proportional to 2,009.20, 3,014.01 and 622.48 is: 933.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.20 : 3,014.01 = 622.48 : x
  2. Step 2: Convert to fraction form
    2,009.20/3,014.01 = 622.48/x
  3. Step 3: Cross multiply
    2,009.20x = 3,014.01 × 622.48
  4. Step 4: Simplify right side
    2,009.20x = 1,876,160.94
  5. Step 5: Solve for x
    x = 1,876,160.94/2,009.20
  6. Step 6: Final answer
    x = 933.79

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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.