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Finding the Fourth Proportional to 1,767.22, 2,435.26 and 1,268.26

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Solution

The fourth proportional to 1,767.22, 2,435.26 and 1,268.26 is: 1,747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.22 : 2,435.26 = 1,268.26 : x
  2. Step 2: Convert to fraction form
    1,767.22/2,435.26 = 1,268.26/x
  3. Step 3: Cross multiply
    1,767.22x = 2,435.26 × 1,268.26
  4. Step 4: Simplify right side
    1,767.22x = 3,088,542.85
  5. Step 5: Solve for x
    x = 3,088,542.85/1,767.22
  6. Step 6: Final answer
    x = 1,747.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.