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Finding the Fourth Proportional to 2,003.97, 2,765.75 and 1,119.96

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Solution

The fourth proportional to 2,003.97, 2,765.75 and 1,119.96 is: 1,545.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.97 : 2,765.75 = 1,119.96 : x
  2. Step 2: Convert to fraction form
    2,003.97/2,765.75 = 1,119.96/x
  3. Step 3: Cross multiply
    2,003.97x = 2,765.75 × 1,119.96
  4. Step 4: Simplify right side
    2,003.97x = 3,097,523.77
  5. Step 5: Solve for x
    x = 3,097,523.77/2,003.97
  6. Step 6: Final answer
    x = 1,545.69

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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.