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Finding the Fourth Proportional to 1,268.15, 1,893.09 and 1,082.25

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Solution

The fourth proportional to 1,268.15, 1,893.09 and 1,082.25 is: 1,615.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.15 : 1,893.09 = 1,082.25 : x
  2. Step 2: Convert to fraction form
    1,268.15/1,893.09 = 1,082.25/x
  3. Step 3: Cross multiply
    1,268.15x = 1,893.09 × 1,082.25
  4. Step 4: Simplify right side
    1,268.15x = 2,048,796.65
  5. Step 5: Solve for x
    x = 2,048,796.65/1,268.15
  6. Step 6: Final answer
    x = 1,615.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.