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Finding the Fourth Proportional to 2,649.48, 3,974.24 and 800.60

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Solution

The fourth proportional to 2,649.48, 3,974.24 and 800.60 is: 1,200.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.48 : 3,974.24 = 800.60 : x
  2. Step 2: Convert to fraction form
    2,649.48/3,974.24 = 800.60/x
  3. Step 3: Cross multiply
    2,649.48x = 3,974.24 × 800.60
  4. Step 4: Simplify right side
    2,649.48x = 3,181,776.54
  5. Step 5: Solve for x
    x = 3,181,776.54/2,649.48
  6. Step 6: Final answer
    x = 1,200.91

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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.