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Finding the Fourth Proportional to 2,820.89, 3,892.11 and 1,626.23

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Solution

The fourth proportional to 2,820.89, 3,892.11 and 1,626.23 is: 2,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.89 : 3,892.11 = 1,626.23 : x
  2. Step 2: Convert to fraction form
    2,820.89/3,892.11 = 1,626.23/x
  3. Step 3: Cross multiply
    2,820.89x = 3,892.11 × 1,626.23
  4. Step 4: Simplify right side
    2,820.89x = 6,329,446.58
  5. Step 5: Solve for x
    x = 6,329,446.58/2,820.89
  6. Step 6: Final answer
    x = 2,243.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.