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Finding the Fourth Proportional to 2,144.46, 3,216.24 and 845.67

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Solution

The fourth proportional to 2,144.46, 3,216.24 and 845.67 is: 1,268.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.46 : 3,216.24 = 845.67 : x
  2. Step 2: Convert to fraction form
    2,144.46/3,216.24 = 845.67/x
  3. Step 3: Cross multiply
    2,144.46x = 3,216.24 × 845.67
  4. Step 4: Simplify right side
    2,144.46x = 2,719,877.68
  5. Step 5: Solve for x
    x = 2,719,877.68/2,144.46
  6. Step 6: Final answer
    x = 1,268.33

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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.