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Finding the Fourth Proportional to 3,104.78, 4,284.14 and 1,778.23

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Solution

The fourth proportional to 3,104.78, 4,284.14 and 1,778.23 is: 2,453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.78 : 4,284.14 = 1,778.23 : x
  2. Step 2: Convert to fraction form
    3,104.78/4,284.14 = 1,778.23/x
  3. Step 3: Cross multiply
    3,104.78x = 4,284.14 × 1,778.23
  4. Step 4: Simplify right side
    3,104.78x = 7,618,186.27
  5. Step 5: Solve for x
    x = 7,618,186.27/3,104.78
  6. Step 6: Final answer
    x = 2,453.70

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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.