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Finding the Fourth Proportional to 3,082.76, 4,623.74 and 1,233.89

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Solution

The fourth proportional to 3,082.76, 4,623.74 and 1,233.89 is: 1,850.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.76 : 4,623.74 = 1,233.89 : x
  2. Step 2: Convert to fraction form
    3,082.76/4,623.74 = 1,233.89/x
  3. Step 3: Cross multiply
    3,082.76x = 4,623.74 × 1,233.89
  4. Step 4: Simplify right side
    3,082.76x = 5,705,183.35
  5. Step 5: Solve for x
    x = 5,705,183.35/3,082.76
  6. Step 6: Final answer
    x = 1,850.67

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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.