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Finding the Fourth Proportional to 2,644.34, 3,649.37 and 1,465.58

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Solution

The fourth proportional to 2,644.34, 3,649.37 and 1,465.58 is: 2,022.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.34 : 3,649.37 = 1,465.58 : x
  2. Step 2: Convert to fraction form
    2,644.34/3,649.37 = 1,465.58/x
  3. Step 3: Cross multiply
    2,644.34x = 3,649.37 × 1,465.58
  4. Step 4: Simplify right side
    2,644.34x = 5,348,418.11
  5. Step 5: Solve for x
    x = 5,348,418.11/2,644.34
  6. Step 6: Final answer
    x = 2,022.59

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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.