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Finding the Fourth Proportional to 2,819.85, 3,892.23 and 1,825.10

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Solution

The fourth proportional to 2,819.85, 3,892.23 and 1,825.10 is: 2,519.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.85 : 3,892.23 = 1,825.10 : x
  2. Step 2: Convert to fraction form
    2,819.85/3,892.23 = 1,825.10/x
  3. Step 3: Cross multiply
    2,819.85x = 3,892.23 × 1,825.10
  4. Step 4: Simplify right side
    2,819.85x = 7,103,718.70
  5. Step 5: Solve for x
    x = 7,103,718.70/2,819.85
  6. Step 6: Final answer
    x = 2,519.18

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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.