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Finding the Fourth Proportional to 4,268.74, 6,400.79 and 1,926

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Solution

The fourth proportional to 4,268.74, 6,400.79 and 1,926 is: 2,887.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,268.74 : 6,400.79 = 1,926 : x
  2. Step 2: Convert to fraction form
    4,268.74/6,400.79 = 1,926/x
  3. Step 3: Cross multiply
    4,268.74x = 6,400.79 × 1,926
  4. Step 4: Simplify right side
    4,268.74x = 12,327,921.54
  5. Step 5: Solve for x
    x = 12,327,921.54/4,268.74
  6. Step 6: Final answer
    x = 2,887.95

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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.