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Finding the Fourth Proportional to 3,120.75, 4,682.94 and 1,659.90

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Solution

The fourth proportional to 3,120.75, 4,682.94 and 1,659.90 is: 2,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.75 : 4,682.94 = 1,659.90 : x
  2. Step 2: Convert to fraction form
    3,120.75/4,682.94 = 1,659.90/x
  3. Step 3: Cross multiply
    3,120.75x = 4,682.94 × 1,659.90
  4. Step 4: Simplify right side
    3,120.75x = 7,773,212.11
  5. Step 5: Solve for x
    x = 7,773,212.11/3,120.75
  6. Step 6: Final answer
    x = 2,490.82

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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.