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Finding the Fourth Proportional to 2,650.74, 3,974.28 and 1,351.32

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Solution

The fourth proportional to 2,650.74, 3,974.28 and 1,351.32 is: 2,026.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.74 : 3,974.28 = 1,351.32 : x
  2. Step 2: Convert to fraction form
    2,650.74/3,974.28 = 1,351.32/x
  3. Step 3: Cross multiply
    2,650.74x = 3,974.28 × 1,351.32
  4. Step 4: Simplify right side
    2,650.74x = 5,370,524.05
  5. Step 5: Solve for x
    x = 5,370,524.05/2,650.74
  6. Step 6: Final answer
    x = 2,026.05

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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.