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Finding the Fourth Proportional to 3,074.67, 4,611.38 and 1,431.99

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Solution

The fourth proportional to 3,074.67, 4,611.38 and 1,431.99 is: 2,147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.67 : 4,611.38 = 1,431.99 : x
  2. Step 2: Convert to fraction form
    3,074.67/4,611.38 = 1,431.99/x
  3. Step 3: Cross multiply
    3,074.67x = 4,611.38 × 1,431.99
  4. Step 4: Simplify right side
    3,074.67x = 6,603,442.89
  5. Step 5: Solve for x
    x = 6,603,442.89/3,074.67
  6. Step 6: Final answer
    x = 2,147.69

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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.