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Finding the Fourth Proportional to 2,099.86, 3,151.01 and 1,162.90

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Solution

The fourth proportional to 2,099.86, 3,151.01 and 1,162.90 is: 1,745.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.86 : 3,151.01 = 1,162.90 : x
  2. Step 2: Convert to fraction form
    2,099.86/3,151.01 = 1,162.90/x
  3. Step 3: Cross multiply
    2,099.86x = 3,151.01 × 1,162.90
  4. Step 4: Simplify right side
    2,099.86x = 3,664,309.53
  5. Step 5: Solve for x
    x = 3,664,309.53/2,099.86
  6. Step 6: Final answer
    x = 1,745.03

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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.