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Finding the Fourth Proportional to 2,268.48, 3,396.80 and 1,901.44

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Solution

The fourth proportional to 2,268.48, 3,396.80 and 1,901.44 is: 2,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.48 : 3,396.80 = 1,901.44 : x
  2. Step 2: Convert to fraction form
    2,268.48/3,396.80 = 1,901.44/x
  3. Step 3: Cross multiply
    2,268.48x = 3,396.80 × 1,901.44
  4. Step 4: Simplify right side
    2,268.48x = 6,458,811.39
  5. Step 5: Solve for x
    x = 6,458,811.39/2,268.48
  6. Step 6: Final answer
    x = 2,847.20

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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.