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Finding the Fourth Proportional to 2,009.40, 3,014.21 and 622.73

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Solution

The fourth proportional to 2,009.40, 3,014.21 and 622.73 is: 934.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.40 : 3,014.21 = 622.73 : x
  2. Step 2: Convert to fraction form
    2,009.40/3,014.21 = 622.73/x
  3. Step 3: Cross multiply
    2,009.40x = 3,014.21 × 622.73
  4. Step 4: Simplify right side
    2,009.40x = 1,877,035.88
  5. Step 5: Solve for x
    x = 1,877,035.88/2,009.40
  6. Step 6: Final answer
    x = 934.13

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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.