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Finding the Fourth Proportional to 3,211.74, 4,432.20 and 1,814.46

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Solution

The fourth proportional to 3,211.74, 4,432.20 and 1,814.46 is: 2,503.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.74 : 4,432.20 = 1,814.46 : x
  2. Step 2: Convert to fraction form
    3,211.74/4,432.20 = 1,814.46/x
  3. Step 3: Cross multiply
    3,211.74x = 4,432.20 × 1,814.46
  4. Step 4: Simplify right side
    3,211.74x = 8,042,049.61
  5. Step 5: Solve for x
    x = 8,042,049.61/3,211.74
  6. Step 6: Final answer
    x = 2,503.95

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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.