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Finding the Fourth Proportional to 2,644.62, 3,650.04 and 1,749.30

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Solution

The fourth proportional to 2,644.62, 3,650.04 and 1,749.30 is: 2,414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.62 : 3,650.04 = 1,749.30 : x
  2. Step 2: Convert to fraction form
    2,644.62/3,650.04 = 1,749.30/x
  3. Step 3: Cross multiply
    2,644.62x = 3,650.04 × 1,749.30
  4. Step 4: Simplify right side
    2,644.62x = 6,385,014.97
  5. Step 5: Solve for x
    x = 6,385,014.97/2,644.62
  6. Step 6: Final answer
    x = 2,414.34

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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.