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Finding the Fourth Proportional to 2,806.50, 3,872.94 and 1,627.54

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Solution

The fourth proportional to 2,806.50, 3,872.94 and 1,627.54 is: 2,245.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.50 : 3,872.94 = 1,627.54 : x
  2. Step 2: Convert to fraction form
    2,806.50/3,872.94 = 1,627.54/x
  3. Step 3: Cross multiply
    2,806.50x = 3,872.94 × 1,627.54
  4. Step 4: Simplify right side
    2,806.50x = 6,303,364.77
  5. Step 5: Solve for x
    x = 6,303,364.77/2,806.50
  6. Step 6: Final answer
    x = 2,245.99

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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.