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Finding the Fourth Proportional to 2,268.44, 3,398.82 and 1,099.01

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Solution

The fourth proportional to 2,268.44, 3,398.82 and 1,099.01 is: 1,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.44 : 3,398.82 = 1,099.01 : x
  2. Step 2: Convert to fraction form
    2,268.44/3,398.82 = 1,099.01/x
  3. Step 3: Cross multiply
    2,268.44x = 3,398.82 × 1,099.01
  4. Step 4: Simplify right side
    2,268.44x = 3,735,337.17
  5. Step 5: Solve for x
    x = 3,735,337.17/2,268.44
  6. Step 6: Final answer
    x = 1,646.65

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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.