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Finding the Fourth Proportional to 3,213.14, 4,816.43 and 1,823.54

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Solution

The fourth proportional to 3,213.14, 4,816.43 and 1,823.54 is: 2,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.14 : 4,816.43 = 1,823.54 : x
  2. Step 2: Convert to fraction form
    3,213.14/4,816.43 = 1,823.54/x
  3. Step 3: Cross multiply
    3,213.14x = 4,816.43 × 1,823.54
  4. Step 4: Simplify right side
    3,213.14x = 8,782,943.64
  5. Step 5: Solve for x
    x = 8,782,943.64/3,213.14
  6. Step 6: Final answer
    x = 2,733.45

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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.