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Finding the Fourth Proportional to 2,093.66, 3,122.19 and 1,834.86

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Solution

The fourth proportional to 2,093.66, 3,122.19 and 1,834.86 is: 2,736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.66 : 3,122.19 = 1,834.86 : x
  2. Step 2: Convert to fraction form
    2,093.66/3,122.19 = 1,834.86/x
  3. Step 3: Cross multiply
    2,093.66x = 3,122.19 × 1,834.86
  4. Step 4: Simplify right side
    2,093.66x = 5,728,781.54
  5. Step 5: Solve for x
    x = 5,728,781.54/2,093.66
  6. Step 6: Final answer
    x = 2,736.25

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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.