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Finding the Fourth Proportional to 3,122.82, 4,684.19 and 1,832.49

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Solution

The fourth proportional to 3,122.82, 4,684.19 and 1,832.49 is: 2,748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.82 : 4,684.19 = 1,832.49 : x
  2. Step 2: Convert to fraction form
    3,122.82/4,684.19 = 1,832.49/x
  3. Step 3: Cross multiply
    3,122.82x = 4,684.19 × 1,832.49
  4. Step 4: Simplify right side
    3,122.82x = 8,583,722.17
  5. Step 5: Solve for x
    x = 8,583,722.17/3,122.82
  6. Step 6: Final answer
    x = 2,748.71

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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.