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Finding the Fourth Proportional to 2,081.86, 3,105.17 and 1,805.76

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Solution

The fourth proportional to 2,081.86, 3,105.17 and 1,805.76 is: 2,693.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.86 : 3,105.17 = 1,805.76 : x
  2. Step 2: Convert to fraction form
    2,081.86/3,105.17 = 1,805.76/x
  3. Step 3: Cross multiply
    2,081.86x = 3,105.17 × 1,805.76
  4. Step 4: Simplify right side
    2,081.86x = 5,607,191.78
  5. Step 5: Solve for x
    x = 5,607,191.78/2,081.86
  6. Step 6: Final answer
    x = 2,693.36

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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.