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Finding the Fourth Proportional to 2,832.11, 3,907.22 and 2,087.84

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Solution

The fourth proportional to 2,832.11, 3,907.22 and 2,087.84 is: 2,880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.11 : 3,907.22 = 2,087.84 : x
  2. Step 2: Convert to fraction form
    2,832.11/3,907.22 = 2,087.84/x
  3. Step 3: Cross multiply
    2,832.11x = 3,907.22 × 2,087.84
  4. Step 4: Simplify right side
    2,832.11x = 8,157,630.67
  5. Step 5: Solve for x
    x = 8,157,630.67/2,832.11
  6. Step 6: Final answer
    x = 2,880.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.