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Finding the Fourth Proportional to 2,649.42, 3,974.15 and 800.55

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Solution

The fourth proportional to 2,649.42, 3,974.15 and 800.55 is: 1,200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.42 : 3,974.15 = 800.55 : x
  2. Step 2: Convert to fraction form
    2,649.42/3,974.15 = 800.55/x
  3. Step 3: Cross multiply
    2,649.42x = 3,974.15 × 800.55
  4. Step 4: Simplify right side
    2,649.42x = 3,181,485.91
  5. Step 5: Solve for x
    x = 3,181,485.91/2,649.42
  6. Step 6: Final answer
    x = 1,200.83

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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.