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Finding the Fourth Proportional to 3,211.97, 4,432.30 and 1,814.63

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Solution

The fourth proportional to 3,211.97, 4,432.30 and 1,814.63 is: 2,504.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.97 : 4,432.30 = 1,814.63 : x
  2. Step 2: Convert to fraction form
    3,211.97/4,432.30 = 1,814.63/x
  3. Step 3: Cross multiply
    3,211.97x = 4,432.30 × 1,814.63
  4. Step 4: Simplify right side
    3,211.97x = 8,042,957.85
  5. Step 5: Solve for x
    x = 8,042,957.85/3,211.97
  6. Step 6: Final answer
    x = 2,504.06

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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.