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Finding the Fourth Proportional to 2,268.54, 3,400.02 and 1,719

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Solution

The fourth proportional to 2,268.54, 3,400.02 and 1,719 is: 2,576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.54 : 3,400.02 = 1,719 : x
  2. Step 2: Convert to fraction form
    2,268.54/3,400.02 = 1,719/x
  3. Step 3: Cross multiply
    2,268.54x = 3,400.02 × 1,719
  4. Step 4: Simplify right side
    2,268.54x = 5,844,634.38
  5. Step 5: Solve for x
    x = 5,844,634.38/2,268.54
  6. Step 6: Final answer
    x = 2,576.39

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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.