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Finding the Fourth Proportional to 2,556.42, 3,833.61 and 996.21

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Solution

The fourth proportional to 2,556.42, 3,833.61 and 996.21 is: 1,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.42 : 3,833.61 = 996.21 : x
  2. Step 2: Convert to fraction form
    2,556.42/3,833.61 = 996.21/x
  3. Step 3: Cross multiply
    2,556.42x = 3,833.61 × 996.21
  4. Step 4: Simplify right side
    2,556.42x = 3,819,061.52
  5. Step 5: Solve for x
    x = 3,819,061.52/2,556.42
  6. Step 6: Final answer
    x = 1,493.91

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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.