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Finding the Fourth Proportional to 1,268.67, 1,738.05 and 1,221.29

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Solution

The fourth proportional to 1,268.67, 1,738.05 and 1,221.29 is: 1,673.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.67 : 1,738.05 = 1,221.29 : x
  2. Step 2: Convert to fraction form
    1,268.67/1,738.05 = 1,221.29/x
  3. Step 3: Cross multiply
    1,268.67x = 1,738.05 × 1,221.29
  4. Step 4: Simplify right side
    1,268.67x = 2,122,663.08
  5. Step 5: Solve for x
    x = 2,122,663.08/1,268.67
  6. Step 6: Final answer
    x = 1,673.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.