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Finding the Fourth Proportional to 2,213.95, 3,322.98 and 1,119.09

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Solution

The fourth proportional to 2,213.95, 3,322.98 and 1,119.09 is: 1,679.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.95 : 3,322.98 = 1,119.09 : x
  2. Step 2: Convert to fraction form
    2,213.95/3,322.98 = 1,119.09/x
  3. Step 3: Cross multiply
    2,213.95x = 3,322.98 × 1,119.09
  4. Step 4: Simplify right side
    2,213.95x = 3,718,713.69
  5. Step 5: Solve for x
    x = 3,718,713.69/2,213.95
  6. Step 6: Final answer
    x = 1,679.67

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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.