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Finding the Fourth Proportional to 3,211.17, 4,812.81 and 1,825.67

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Solution

The fourth proportional to 3,211.17, 4,812.81 and 1,825.67 is: 2,736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.17 : 4,812.81 = 1,825.67 : x
  2. Step 2: Convert to fraction form
    3,211.17/4,812.81 = 1,825.67/x
  3. Step 3: Cross multiply
    3,211.17x = 4,812.81 × 1,825.67
  4. Step 4: Simplify right side
    3,211.17x = 8,786,578.77
  5. Step 5: Solve for x
    x = 8,786,578.77/3,211.17
  6. Step 6: Final answer
    x = 2,736.25

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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.