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Finding the Fourth Proportional to 2,338.56, 3,227.28 and 1,290.60

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Solution

The fourth proportional to 2,338.56, 3,227.28 and 1,290.60 is: 1,781.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.56 : 3,227.28 = 1,290.60 : x
  2. Step 2: Convert to fraction form
    2,338.56/3,227.28 = 1,290.60/x
  3. Step 3: Cross multiply
    2,338.56x = 3,227.28 × 1,290.60
  4. Step 4: Simplify right side
    2,338.56x = 4,165,127.57
  5. Step 5: Solve for x
    x = 4,165,127.57/2,338.56
  6. Step 6: Final answer
    x = 1,781.07

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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.