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Finding the Fourth Proportional to 2,003.67, 2,765.21 and 1,305.05

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Solution

The fourth proportional to 2,003.67, 2,765.21 and 1,305.05 is: 1,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.67 : 2,765.21 = 1,305.05 : x
  2. Step 2: Convert to fraction form
    2,003.67/2,765.21 = 1,305.05/x
  3. Step 3: Cross multiply
    2,003.67x = 2,765.21 × 1,305.05
  4. Step 4: Simplify right side
    2,003.67x = 3,608,716.96
  5. Step 5: Solve for x
    x = 3,608,716.96/2,003.67
  6. Step 6: Final answer
    x = 1,801.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.