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Finding the Fourth Proportional to 2,268.45, 3,403.71 and 1,097.82

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Solution

The fourth proportional to 2,268.45, 3,403.71 and 1,097.82 is: 1,647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.45 : 3,403.71 = 1,097.82 : x
  2. Step 2: Convert to fraction form
    2,268.45/3,403.71 = 1,097.82/x
  3. Step 3: Cross multiply
    2,268.45x = 3,403.71 × 1,097.82
  4. Step 4: Simplify right side
    2,268.45x = 3,736,660.91
  5. Step 5: Solve for x
    x = 3,736,660.91/2,268.45
  6. Step 6: Final answer
    x = 1,647.23

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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.