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Finding the Fourth Proportional to 2,644.32, 3,649.56 and 2,201.52

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Solution

The fourth proportional to 2,644.32, 3,649.56 and 2,201.52 is: 3,038.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.32 : 3,649.56 = 2,201.52 : x
  2. Step 2: Convert to fraction form
    2,644.32/3,649.56 = 2,201.52/x
  3. Step 3: Cross multiply
    2,644.32x = 3,649.56 × 2,201.52
  4. Step 4: Simplify right side
    2,644.32x = 8,034,579.33
  5. Step 5: Solve for x
    x = 8,034,579.33/2,644.32
  6. Step 6: Final answer
    x = 3,038.43

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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.