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Finding the Fourth Proportional to 3,222.81, 4,447.44 and 1,806.49

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Solution

The fourth proportional to 3,222.81, 4,447.44 and 1,806.49 is: 2,492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.81 : 4,447.44 = 1,806.49 : x
  2. Step 2: Convert to fraction form
    3,222.81/4,447.44 = 1,806.49/x
  3. Step 3: Cross multiply
    3,222.81x = 4,447.44 × 1,806.49
  4. Step 4: Simplify right side
    3,222.81x = 8,034,255.89
  5. Step 5: Solve for x
    x = 8,034,255.89/3,222.81
  6. Step 6: Final answer
    x = 2,492.94

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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.