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Finding the Fourth Proportional to 3,256.49, 4,882.46 and 1,611.99

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Solution

The fourth proportional to 3,256.49, 4,882.46 and 1,611.99 is: 2,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.49 : 4,882.46 = 1,611.99 : x
  2. Step 2: Convert to fraction form
    3,256.49/4,882.46 = 1,611.99/x
  3. Step 3: Cross multiply
    3,256.49x = 4,882.46 × 1,611.99
  4. Step 4: Simplify right side
    3,256.49x = 7,870,476.70
  5. Step 5: Solve for x
    x = 7,870,476.70/3,256.49
  6. Step 6: Final answer
    x = 2,416.86

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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.