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Finding the Fourth Proportional to 2,299.82, 3,165.73 and 2,004.57

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Solution

The fourth proportional to 2,299.82, 3,165.73 and 2,004.57 is: 2,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.82 : 3,165.73 = 2,004.57 : x
  2. Step 2: Convert to fraction form
    2,299.82/3,165.73 = 2,004.57/x
  3. Step 3: Cross multiply
    2,299.82x = 3,165.73 × 2,004.57
  4. Step 4: Simplify right side
    2,299.82x = 6,345,922.37
  5. Step 5: Solve for x
    x = 6,345,922.37/2,299.82
  6. Step 6: Final answer
    x = 2,759.32

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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.