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Finding the Fourth Proportional to 2,099.35, 3,149.01 and 800.82

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Solution

The fourth proportional to 2,099.35, 3,149.01 and 800.82 is: 1,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.35 : 3,149.01 = 800.82 : x
  2. Step 2: Convert to fraction form
    2,099.35/3,149.01 = 800.82/x
  3. Step 3: Cross multiply
    2,099.35x = 3,149.01 × 800.82
  4. Step 4: Simplify right side
    2,099.35x = 2,521,790.19
  5. Step 5: Solve for x
    x = 2,521,790.19/2,099.35
  6. Step 6: Final answer
    x = 1,201.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.