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Finding the Fourth Proportional to 2,806.62, 4,211.01 and 1,074.84

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Solution

The fourth proportional to 2,806.62, 4,211.01 and 1,074.84 is: 1,612.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.62 : 4,211.01 = 1,074.84 : x
  2. Step 2: Convert to fraction form
    2,806.62/4,211.01 = 1,074.84/x
  3. Step 3: Cross multiply
    2,806.62x = 4,211.01 × 1,074.84
  4. Step 4: Simplify right side
    2,806.62x = 4,526,161.99
  5. Step 5: Solve for x
    x = 4,526,161.99/2,806.62
  6. Step 6: Final answer
    x = 1,612.67

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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.