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Finding the Fourth Proportional to 2,080.89, 3,096.83 and 2,003.13

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Solution

The fourth proportional to 2,080.89, 3,096.83 and 2,003.13 is: 2,981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.89 : 3,096.83 = 2,003.13 : x
  2. Step 2: Convert to fraction form
    2,080.89/3,096.83 = 2,003.13/x
  3. Step 3: Cross multiply
    2,080.89x = 3,096.83 × 2,003.13
  4. Step 4: Simplify right side
    2,080.89x = 6,203,358.09
  5. Step 5: Solve for x
    x = 6,203,358.09/2,080.89
  6. Step 6: Final answer
    x = 2,981.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.