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Finding the Fourth Proportional to 3,074.57, 4,611.89 and 883.31

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Solution

The fourth proportional to 3,074.57, 4,611.89 and 883.31 is: 1,324.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.57 : 4,611.89 = 883.31 : x
  2. Step 2: Convert to fraction form
    3,074.57/4,611.89 = 883.31/x
  3. Step 3: Cross multiply
    3,074.57x = 4,611.89 × 883.31
  4. Step 4: Simplify right side
    3,074.57x = 4,073,735.67
  5. Step 5: Solve for x
    x = 4,073,735.67/3,074.57
  6. Step 6: Final answer
    x = 1,324.98

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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.