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Finding the Fourth Proportional to 3,268.20, 4,902.94 and 1,419

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Solution

The fourth proportional to 3,268.20, 4,902.94 and 1,419 is: 2,128.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.20 : 4,902.94 = 1,419 : x
  2. Step 2: Convert to fraction form
    3,268.20/4,902.94 = 1,419/x
  3. Step 3: Cross multiply
    3,268.20x = 4,902.94 × 1,419
  4. Step 4: Simplify right side
    3,268.20x = 6,957,271.86
  5. Step 5: Solve for x
    x = 6,957,271.86/3,268.20
  6. Step 6: Final answer
    x = 2,128.78

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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.