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Finding the Fourth Proportional to 2,003.96, 2,765.19 and 1,217.87

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Solution

The fourth proportional to 2,003.96, 2,765.19 and 1,217.87 is: 1,680.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.96 : 2,765.19 = 1,217.87 : x
  2. Step 2: Convert to fraction form
    2,003.96/2,765.19 = 1,217.87/x
  3. Step 3: Cross multiply
    2,003.96x = 2,765.19 × 1,217.87
  4. Step 4: Simplify right side
    2,003.96x = 3,367,641.95
  5. Step 5: Solve for x
    x = 3,367,641.95/2,003.96
  6. Step 6: Final answer
    x = 1,680.49

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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.