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Finding the Fourth Proportional to 3,213.88, 4,820.82 and 1,161.88

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Solution

The fourth proportional to 3,213.88, 4,820.82 and 1,161.88 is: 1,742.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.88 : 4,820.82 = 1,161.88 : x
  2. Step 2: Convert to fraction form
    3,213.88/4,820.82 = 1,161.88/x
  3. Step 3: Cross multiply
    3,213.88x = 4,820.82 × 1,161.88
  4. Step 4: Simplify right side
    3,213.88x = 5,601,214.34
  5. Step 5: Solve for x
    x = 5,601,214.34/3,213.88
  6. Step 6: Final answer
    x = 1,742.82

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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.