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Finding the Fourth Proportional to 2,099.93, 3,148.83 and 1,222.71

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Solution

The fourth proportional to 2,099.93, 3,148.83 and 1,222.71 is: 1,833.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.93 : 3,148.83 = 1,222.71 : x
  2. Step 2: Convert to fraction form
    2,099.93/3,148.83 = 1,222.71/x
  3. Step 3: Cross multiply
    2,099.93x = 3,148.83 × 1,222.71
  4. Step 4: Simplify right side
    2,099.93x = 3,850,105.93
  5. Step 5: Solve for x
    x = 3,850,105.93/2,099.93
  6. Step 6: Final answer
    x = 1,833.45

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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.