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Finding the Fourth Proportional to 2,556.61, 3,835.00 and 996.55

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Solution

The fourth proportional to 2,556.61, 3,835.00 and 996.55 is: 1,494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.61 : 3,835.00 = 996.55 : x
  2. Step 2: Convert to fraction form
    2,556.61/3,835.00 = 996.55/x
  3. Step 3: Cross multiply
    2,556.61x = 3,835.00 × 996.55
  4. Step 4: Simplify right side
    2,556.61x = 3,821,776.87
  5. Step 5: Solve for x
    x = 3,821,776.87/2,556.61
  6. Step 6: Final answer
    x = 1,494.86

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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.