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Finding the Fourth Proportional to 2,116.58, 3,170.23 and 1,074.78

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Solution

The fourth proportional to 2,116.58, 3,170.23 and 1,074.78 is: 1,609.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.58 : 3,170.23 = 1,074.78 : x
  2. Step 2: Convert to fraction form
    2,116.58/3,170.23 = 1,074.78/x
  3. Step 3: Cross multiply
    2,116.58x = 3,170.23 × 1,074.78
  4. Step 4: Simplify right side
    2,116.58x = 3,407,299.80
  5. Step 5: Solve for x
    x = 3,407,299.80/2,116.58
  6. Step 6: Final answer
    x = 1,609.81

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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.