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Finding the Fourth Proportional to 2,884.69, 3,979.83 and 1,822.53

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Solution

The fourth proportional to 2,884.69, 3,979.83 and 1,822.53 is: 2,514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.69 : 3,979.83 = 1,822.53 : x
  2. Step 2: Convert to fraction form
    2,884.69/3,979.83 = 1,822.53/x
  3. Step 3: Cross multiply
    2,884.69x = 3,979.83 × 1,822.53
  4. Step 4: Simplify right side
    2,884.69x = 7,253,359.57
  5. Step 5: Solve for x
    x = 7,253,359.57/2,884.69
  6. Step 6: Final answer
    x = 2,514.43

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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.