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Finding the Fourth Proportional to 1,601.96, 2,401.68 and 821.12

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Solution

The fourth proportional to 1,601.96, 2,401.68 and 821.12 is: 1,231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.96 : 2,401.68 = 821.12 : x
  2. Step 2: Convert to fraction form
    1,601.96/2,401.68 = 821.12/x
  3. Step 3: Cross multiply
    1,601.96x = 2,401.68 × 821.12
  4. Step 4: Simplify right side
    1,601.96x = 1,972,067.48
  5. Step 5: Solve for x
    x = 1,972,067.48/1,601.96
  6. Step 6: Final answer
    x = 1,231.03

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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.