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Finding the Fourth Proportional to 2,832.71, 4,241.77 and 2,274.82

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Solution

The fourth proportional to 2,832.71, 4,241.77 and 2,274.82 is: 3,406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.71 : 4,241.77 = 2,274.82 : x
  2. Step 2: Convert to fraction form
    2,832.71/4,241.77 = 2,274.82/x
  3. Step 3: Cross multiply
    2,832.71x = 4,241.77 × 2,274.82
  4. Step 4: Simplify right side
    2,832.71x = 9,649,246.94
  5. Step 5: Solve for x
    x = 9,649,246.94/2,832.71
  6. Step 6: Final answer
    x = 3,406.37

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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.