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Finding the Fourth Proportional to 1,919.22, 2,879.09 and 620.25

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Solution

The fourth proportional to 1,919.22, 2,879.09 and 620.25 is: 930.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.22 : 2,879.09 = 620.25 : x
  2. Step 2: Convert to fraction form
    1,919.22/2,879.09 = 620.25/x
  3. Step 3: Cross multiply
    1,919.22x = 2,879.09 × 620.25
  4. Step 4: Simplify right side
    1,919.22x = 1,785,755.57
  5. Step 5: Solve for x
    x = 1,785,755.57/1,919.22
  6. Step 6: Final answer
    x = 930.46

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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.