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Finding the Fourth Proportional to 2,121.43, 3,181.60 and 659.83

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Solution

The fourth proportional to 2,121.43, 3,181.60 and 659.83 is: 989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.43 : 3,181.60 = 659.83 : x
  2. Step 2: Convert to fraction form
    2,121.43/3,181.60 = 659.83/x
  3. Step 3: Cross multiply
    2,121.43x = 3,181.60 × 659.83
  4. Step 4: Simplify right side
    2,121.43x = 2,099,315.13
  5. Step 5: Solve for x
    x = 2,099,315.13/2,121.43
  6. Step 6: Final answer
    x = 989.58

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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.