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Finding the Fourth Proportional to 1,474.37, 2,211.24 and 733.22

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Solution

The fourth proportional to 1,474.37, 2,211.24 and 733.22 is: 1,099.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.37 : 2,211.24 = 733.22 : x
  2. Step 2: Convert to fraction form
    1,474.37/2,211.24 = 733.22/x
  3. Step 3: Cross multiply
    1,474.37x = 2,211.24 × 733.22
  4. Step 4: Simplify right side
    1,474.37x = 1,621,325.39
  5. Step 5: Solve for x
    x = 1,621,325.39/1,474.37
  6. Step 6: Final answer
    x = 1,099.67

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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.