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Finding the Fourth Proportional to 2,003.85, 2,764.50 and 1,331.98

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Solution

The fourth proportional to 2,003.85, 2,764.50 and 1,331.98 is: 1,837.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.85 : 2,764.50 = 1,331.98 : x
  2. Step 2: Convert to fraction form
    2,003.85/2,764.50 = 1,331.98/x
  3. Step 3: Cross multiply
    2,003.85x = 2,764.50 × 1,331.98
  4. Step 4: Simplify right side
    2,003.85x = 3,682,251.80
  5. Step 5: Solve for x
    x = 3,682,251.80/2,003.85
  6. Step 6: Final answer
    x = 1,837.59

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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.