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Finding the Fourth Proportional to 2,556.74, 3,835.10 and 1,169.70

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Solution

The fourth proportional to 2,556.74, 3,835.10 and 1,169.70 is: 1,754.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.74 : 3,835.10 = 1,169.70 : x
  2. Step 2: Convert to fraction form
    2,556.74/3,835.10 = 1,169.70/x
  3. Step 3: Cross multiply
    2,556.74x = 3,835.10 × 1,169.70
  4. Step 4: Simplify right side
    2,556.74x = 4,485,910.62
  5. Step 5: Solve for x
    x = 4,485,910.62/2,556.74
  6. Step 6: Final answer
    x = 1,754.55

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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.