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Finding the Fourth Proportional to 2,649.52, 3,974.82 and 800.74

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Solution

The fourth proportional to 2,649.52, 3,974.82 and 800.74 is: 1,201.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.52 : 3,974.82 = 800.74 : x
  2. Step 2: Convert to fraction form
    2,649.52/3,974.82 = 800.74/x
  3. Step 3: Cross multiply
    2,649.52x = 3,974.82 × 800.74
  4. Step 4: Simplify right side
    2,649.52x = 3,182,797.37
  5. Step 5: Solve for x
    x = 3,182,797.37/2,649.52
  6. Step 6: Final answer
    x = 1,201.27

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