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Finding the Fourth Proportional to 2,819, 3,889.32 and 1,825.04

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Solution

The fourth proportional to 2,819, 3,889.32 and 1,825.04 is: 2,517.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819 : 3,889.32 = 1,825.04 : x
  2. Step 2: Convert to fraction form
    2,819/3,889.32 = 1,825.04/x
  3. Step 3: Cross multiply
    2,819x = 3,889.32 × 1,825.04
  4. Step 4: Simplify right side
    2,819x = 7,098,164.57
  5. Step 5: Solve for x
    x = 7,098,164.57/2,819
  6. Step 6: Final answer
    x = 2,517.97

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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.