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Finding the Fourth Proportional to 3,154.44, 4,728.22 and 1,205.80

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Solution

The fourth proportional to 3,154.44, 4,728.22 and 1,205.80 is: 1,807.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.44 : 4,728.22 = 1,205.80 : x
  2. Step 2: Convert to fraction form
    3,154.44/4,728.22 = 1,205.80/x
  3. Step 3: Cross multiply
    3,154.44x = 4,728.22 × 1,205.80
  4. Step 4: Simplify right side
    3,154.44x = 5,701,287.68
  5. Step 5: Solve for x
    x = 5,701,287.68/3,154.44
  6. Step 6: Final answer
    x = 1,807.39

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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.