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Finding the Fourth Proportional to 2,649.51, 3,974.63 and 800.41

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Solution

The fourth proportional to 2,649.51, 3,974.63 and 800.41 is: 1,200.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.51 : 3,974.63 = 800.41 : x
  2. Step 2: Convert to fraction form
    2,649.51/3,974.63 = 800.41/x
  3. Step 3: Cross multiply
    2,649.51x = 3,974.63 × 800.41
  4. Step 4: Simplify right side
    2,649.51x = 3,181,333.60
  5. Step 5: Solve for x
    x = 3,181,333.60/2,649.51
  6. Step 6: Final answer
    x = 1,200.73

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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.