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Finding the Fourth Proportional to 3,083.53, 4,626.47 and 1,851.80

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Solution

The fourth proportional to 3,083.53, 4,626.47 and 1,851.80 is: 2,778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.53 : 4,626.47 = 1,851.80 : x
  2. Step 2: Convert to fraction form
    3,083.53/4,626.47 = 1,851.80/x
  3. Step 3: Cross multiply
    3,083.53x = 4,626.47 × 1,851.80
  4. Step 4: Simplify right side
    3,083.53x = 8,567,297.15
  5. Step 5: Solve for x
    x = 8,567,297.15/3,083.53
  6. Step 6: Final answer
    x = 2,778.41

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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.