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Finding the Fourth Proportional to 2,556.87, 3,835.97 and 1,169.55

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Solution

The fourth proportional to 2,556.87, 3,835.97 and 1,169.55 is: 1,754.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.87 : 3,835.97 = 1,169.55 : x
  2. Step 2: Convert to fraction form
    2,556.87/3,835.97 = 1,169.55/x
  3. Step 3: Cross multiply
    2,556.87x = 3,835.97 × 1,169.55
  4. Step 4: Simplify right side
    2,556.87x = 4,486,352.87
  5. Step 5: Solve for x
    x = 4,486,352.87/2,556.87
  6. Step 6: Final answer
    x = 1,754.63

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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.