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Finding the Fourth Proportional to 1,611.97, 2,419.44 and 996.88

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Solution

The fourth proportional to 1,611.97, 2,419.44 and 996.88 is: 1,496.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.97 : 2,419.44 = 996.88 : x
  2. Step 2: Convert to fraction form
    1,611.97/2,419.44 = 996.88/x
  3. Step 3: Cross multiply
    1,611.97x = 2,419.44 × 996.88
  4. Step 4: Simplify right side
    1,611.97x = 2,411,891.35
  5. Step 5: Solve for x
    x = 2,411,891.35/1,611.97
  6. Step 6: Final answer
    x = 1,496.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.