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Finding the Fourth Proportional to 3,268, 4,902.72 and 1,216

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Solution

The fourth proportional to 3,268, 4,902.72 and 1,216 is: 1,824.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268 : 4,902.72 = 1,216 : x
  2. Step 2: Convert to fraction form
    3,268/4,902.72 = 1,216/x
  3. Step 3: Cross multiply
    3,268x = 4,902.72 × 1,216
  4. Step 4: Simplify right side
    3,268x = 5,961,707.52
  5. Step 5: Solve for x
    x = 5,961,707.52/3,268
  6. Step 6: Final answer
    x = 1,824.27

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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.