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Finding the Fourth Proportional to 4,422.74, 6,635.06 and 1,649.44

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Solution

The fourth proportional to 4,422.74, 6,635.06 and 1,649.44 is: 2,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,422.74 : 6,635.06 = 1,649.44 : x
  2. Step 2: Convert to fraction form
    4,422.74/6,635.06 = 1,649.44/x
  3. Step 3: Cross multiply
    4,422.74x = 6,635.06 × 1,649.44
  4. Step 4: Simplify right side
    4,422.74x = 10,944,091.94
  5. Step 5: Solve for x
    x = 10,944,091.94/4,422.74
  6. Step 6: Final answer
    x = 2,474.50

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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.