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Finding the Fourth Proportional to 3,214.68, 4,823.21 and 1,268.24

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Solution

The fourth proportional to 3,214.68, 4,823.21 and 1,268.24 is: 1,902.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.68 : 4,823.21 = 1,268.24 : x
  2. Step 2: Convert to fraction form
    3,214.68/4,823.21 = 1,268.24/x
  3. Step 3: Cross multiply
    3,214.68x = 4,823.21 × 1,268.24
  4. Step 4: Simplify right side
    3,214.68x = 6,116,987.85
  5. Step 5: Solve for x
    x = 6,116,987.85/3,214.68
  6. Step 6: Final answer
    x = 1,902.83

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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.