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Finding the Fourth Proportional to 2,769.38, 3,822.15 and 1,825.02

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Solution

The fourth proportional to 2,769.38, 3,822.15 and 1,825.02 is: 2,518.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.38 : 3,822.15 = 1,825.02 : x
  2. Step 2: Convert to fraction form
    2,769.38/3,822.15 = 1,825.02/x
  3. Step 3: Cross multiply
    2,769.38x = 3,822.15 × 1,825.02
  4. Step 4: Simplify right side
    2,769.38x = 6,975,500.19
  5. Step 5: Solve for x
    x = 6,975,500.19/2,769.38
  6. Step 6: Final answer
    x = 2,518.79

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Why These Related Problems?

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