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Finding the Fourth Proportional to 3,611.75, 4,982.31 and 2,284.97

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Solution

The fourth proportional to 3,611.75, 4,982.31 and 2,284.97 is: 3,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.75 : 4,982.31 = 2,284.97 : x
  2. Step 2: Convert to fraction form
    3,611.75/4,982.31 = 2,284.97/x
  3. Step 3: Cross multiply
    3,611.75x = 4,982.31 × 2,284.97
  4. Step 4: Simplify right side
    3,611.75x = 11,384,403.97
  5. Step 5: Solve for x
    x = 11,384,403.97/3,611.75
  6. Step 6: Final answer
    x = 3,152.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.