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Finding the Fourth Proportional to 1,611.88, 2,419.04 and 1,063.88

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Solution

The fourth proportional to 1,611.88, 2,419.04 and 1,063.88 is: 1,596.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.88 : 2,419.04 = 1,063.88 : x
  2. Step 2: Convert to fraction form
    1,611.88/2,419.04 = 1,063.88/x
  3. Step 3: Cross multiply
    1,611.88x = 2,419.04 × 1,063.88
  4. Step 4: Simplify right side
    1,611.88x = 2,573,568.28
  5. Step 5: Solve for x
    x = 2,573,568.28/1,611.88
  6. Step 6: Final answer
    x = 1,596.63

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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.