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Finding the Fourth Proportional to 2,644.09, 3,648.92 and 1,465.38

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Solution

The fourth proportional to 2,644.09, 3,648.92 and 1,465.38 is: 2,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.09 : 3,648.92 = 1,465.38 : x
  2. Step 2: Convert to fraction form
    2,644.09/3,648.92 = 1,465.38/x
  3. Step 3: Cross multiply
    2,644.09x = 3,648.92 × 1,465.38
  4. Step 4: Simplify right side
    2,644.09x = 5,347,058.05
  5. Step 5: Solve for x
    x = 5,347,058.05/2,644.09
  6. Step 6: Final answer
    x = 2,022.27

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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.