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Finding the Fourth Proportional to 1,778.68, 2,449.21 and 1,611.85

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Solution

The fourth proportional to 1,778.68, 2,449.21 and 1,611.85 is: 2,219.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.68 : 2,449.21 = 1,611.85 : x
  2. Step 2: Convert to fraction form
    1,778.68/2,449.21 = 1,611.85/x
  3. Step 3: Cross multiply
    1,778.68x = 2,449.21 × 1,611.85
  4. Step 4: Simplify right side
    1,778.68x = 3,947,761.13
  5. Step 5: Solve for x
    x = 3,947,761.13/1,778.68
  6. Step 6: Final answer
    x = 2,219.48

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