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Finding the Fourth Proportional to 2,816.44, 4,217.46 and 1,952.44

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Solution

The fourth proportional to 2,816.44, 4,217.46 and 1,952.44 is: 2,923.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.44 : 4,217.46 = 1,952.44 : x
  2. Step 2: Convert to fraction form
    2,816.44/4,217.46 = 1,952.44/x
  3. Step 3: Cross multiply
    2,816.44x = 4,217.46 × 1,952.44
  4. Step 4: Simplify right side
    2,816.44x = 8,234,337.60
  5. Step 5: Solve for x
    x = 8,234,337.60/2,816.44
  6. Step 6: Final answer
    x = 2,923.67

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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.