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Finding the Fourth Proportional to 2,644.38, 3,649.19 and 1,465.44

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Solution

The fourth proportional to 2,644.38, 3,649.19 and 1,465.44 is: 2,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.38 : 3,649.19 = 1,465.44 : x
  2. Step 2: Convert to fraction form
    2,644.38/3,649.19 = 1,465.44/x
  3. Step 3: Cross multiply
    2,644.38x = 3,649.19 × 1,465.44
  4. Step 4: Simplify right side
    2,644.38x = 5,347,668.99
  5. Step 5: Solve for x
    x = 5,347,668.99/2,644.38
  6. Step 6: Final answer
    x = 2,022.28

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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.