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Finding the Fourth Proportional to 2,540.28, 3,505.50 and 1,436.28

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Solution

The fourth proportional to 2,540.28, 3,505.50 and 1,436.28 is: 1,982.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.28 : 3,505.50 = 1,436.28 : x
  2. Step 2: Convert to fraction form
    2,540.28/3,505.50 = 1,436.28/x
  3. Step 3: Cross multiply
    2,540.28x = 3,505.50 × 1,436.28
  4. Step 4: Simplify right side
    2,540.28x = 5,034,879.54
  5. Step 5: Solve for x
    x = 5,034,879.54/2,540.28
  6. Step 6: Final answer
    x = 1,982.02

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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.