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Finding the Fourth Proportional to 1,481.36, 2,218.80 and 902.48

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Solution

The fourth proportional to 1,481.36, 2,218.80 and 902.48 is: 1,351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.36 : 2,218.80 = 902.48 : x
  2. Step 2: Convert to fraction form
    1,481.36/2,218.80 = 902.48/x
  3. Step 3: Cross multiply
    1,481.36x = 2,218.80 × 902.48
  4. Step 4: Simplify right side
    1,481.36x = 2,002,422.62
  5. Step 5: Solve for x
    x = 2,002,422.62/1,481.36
  6. Step 6: Final answer
    x = 1,351.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.