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Finding the Fourth Proportional to 3,104.62, 4,284.21 and 1,778.20

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Solution

The fourth proportional to 3,104.62, 4,284.21 and 1,778.20 is: 2,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.62 : 4,284.21 = 1,778.20 : x
  2. Step 2: Convert to fraction form
    3,104.62/4,284.21 = 1,778.20/x
  3. Step 3: Cross multiply
    3,104.62x = 4,284.21 × 1,778.20
  4. Step 4: Simplify right side
    3,104.62x = 7,618,182.22
  5. Step 5: Solve for x
    x = 7,618,182.22/3,104.62
  6. Step 6: Final answer
    x = 2,453.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.