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Finding the Fourth Proportional to 2,778.54, 4,169.50 and 1,317.84

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Solution

The fourth proportional to 2,778.54, 4,169.50 and 1,317.84 is: 1,977.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.54 : 4,169.50 = 1,317.84 : x
  2. Step 2: Convert to fraction form
    2,778.54/4,169.50 = 1,317.84/x
  3. Step 3: Cross multiply
    2,778.54x = 4,169.50 × 1,317.84
  4. Step 4: Simplify right side
    2,778.54x = 5,494,733.88
  5. Step 5: Solve for x
    x = 5,494,733.88/2,778.54
  6. Step 6: Final answer
    x = 1,977.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.