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Finding the Fourth Proportional to 2,199.58, 3,295.86 and 1,611.86

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Solution

The fourth proportional to 2,199.58, 3,295.86 and 1,611.86 is: 2,415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.58 : 3,295.86 = 1,611.86 : x
  2. Step 2: Convert to fraction form
    2,199.58/3,295.86 = 1,611.86/x
  3. Step 3: Cross multiply
    2,199.58x = 3,295.86 × 1,611.86
  4. Step 4: Simplify right side
    2,199.58x = 5,312,456.66
  5. Step 5: Solve for x
    x = 5,312,456.66/2,199.58
  6. Step 6: Final answer
    x = 2,415.21

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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.