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Finding the Fourth Proportional to 2,650.03, 3,974.97 and 1,264.34

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Solution

The fourth proportional to 2,650.03, 3,974.97 and 1,264.34 is: 1,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.03 : 3,974.97 = 1,264.34 : x
  2. Step 2: Convert to fraction form
    2,650.03/3,974.97 = 1,264.34/x
  3. Step 3: Cross multiply
    2,650.03x = 3,974.97 × 1,264.34
  4. Step 4: Simplify right side
    2,650.03x = 5,025,707.25
  5. Step 5: Solve for x
    x = 5,025,707.25/2,650.03
  6. Step 6: Final answer
    x = 1,896.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.