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Finding the Fourth Proportional to 2,644.43, 3,649.34 and 1,465.52

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Solution

The fourth proportional to 2,644.43, 3,649.34 and 1,465.52 is: 2,022.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.43 : 3,649.34 = 1,465.52 : x
  2. Step 2: Convert to fraction form
    2,644.43/3,649.34 = 1,465.52/x
  3. Step 3: Cross multiply
    2,644.43x = 3,649.34 × 1,465.52
  4. Step 4: Simplify right side
    2,644.43x = 5,348,173.43
  5. Step 5: Solve for x
    x = 5,348,173.43/2,644.43
  6. Step 6: Final answer
    x = 2,022.43

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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.