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Finding the Fourth Proportional to 2,003.92, 2,769.72 and 1,766.05

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Solution

The fourth proportional to 2,003.92, 2,769.72 and 1,766.05 is: 2,440.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.92 : 2,769.72 = 1,766.05 : x
  2. Step 2: Convert to fraction form
    2,003.92/2,769.72 = 1,766.05/x
  3. Step 3: Cross multiply
    2,003.92x = 2,769.72 × 1,766.05
  4. Step 4: Simplify right side
    2,003.92x = 4,891,464.01
  5. Step 5: Solve for x
    x = 4,891,464.01/2,003.92
  6. Step 6: Final answer
    x = 2,440.95

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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.