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Finding the Fourth Proportional to 2,268.88, 3,398.52 and 1,343.44

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Solution

The fourth proportional to 2,268.88, 3,398.52 and 1,343.44 is: 2,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.88 : 3,398.52 = 1,343.44 : x
  2. Step 2: Convert to fraction form
    2,268.88/3,398.52 = 1,343.44/x
  3. Step 3: Cross multiply
    2,268.88x = 3,398.52 × 1,343.44
  4. Step 4: Simplify right side
    2,268.88x = 4,565,707.71
  5. Step 5: Solve for x
    x = 4,565,707.71/2,268.88
  6. Step 6: Final answer
    x = 2,012.32

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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.