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Finding the Fourth Proportional to 2,003.75, 2,765.31 and 1,164.73

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Solution

The fourth proportional to 2,003.75, 2,765.31 and 1,164.73 is: 1,607.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.75 : 2,765.31 = 1,164.73 : x
  2. Step 2: Convert to fraction form
    2,003.75/2,765.31 = 1,164.73/x
  3. Step 3: Cross multiply
    2,003.75x = 2,765.31 × 1,164.73
  4. Step 4: Simplify right side
    2,003.75x = 3,220,839.52
  5. Step 5: Solve for x
    x = 3,220,839.52/2,003.75
  6. Step 6: Final answer
    x = 1,607.41

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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.