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Finding the Fourth Proportional to 2,644.42, 3,649.32 and 1,465.48

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Solution

The fourth proportional to 2,644.42, 3,649.32 and 1,465.48 is: 2,022.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.42 : 3,649.32 = 1,465.48 : x
  2. Step 2: Convert to fraction form
    2,644.42/3,649.32 = 1,465.48/x
  3. Step 3: Cross multiply
    2,644.42x = 3,649.32 × 1,465.48
  4. Step 4: Simplify right side
    2,644.42x = 5,348,005.47
  5. Step 5: Solve for x
    x = 5,348,005.47/2,644.42
  6. Step 6: Final answer
    x = 2,022.37

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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.