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Finding the Fourth Proportional to 2,120.77, 3,181.29 and 659.98

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Solution

The fourth proportional to 2,120.77, 3,181.29 and 659.98 is: 990.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.77 : 3,181.29 = 659.98 : x
  2. Step 2: Convert to fraction form
    2,120.77/3,181.29 = 659.98/x
  3. Step 3: Cross multiply
    2,120.77x = 3,181.29 × 659.98
  4. Step 4: Simplify right side
    2,120.77x = 2,099,587.77
  5. Step 5: Solve for x
    x = 2,099,587.77/2,120.77
  6. Step 6: Final answer
    x = 990.01

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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.