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Finding the Fourth Proportional to 2,120.98, 3,181.34 and 659.92

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Solution

The fourth proportional to 2,120.98, 3,181.34 and 659.92 is: 989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.98 : 3,181.34 = 659.92 : x
  2. Step 2: Convert to fraction form
    2,120.98/3,181.34 = 659.92/x
  3. Step 3: Cross multiply
    2,120.98x = 3,181.34 × 659.92
  4. Step 4: Simplify right side
    2,120.98x = 2,099,429.89
  5. Step 5: Solve for x
    x = 2,099,429.89/2,120.98
  6. Step 6: Final answer
    x = 989.84

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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.