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Finding the Fourth Proportional to 3,122.70, 4,685.67 and 2,027.58

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Solution

The fourth proportional to 3,122.70, 4,685.67 and 2,027.58 is: 3,042.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.70 : 4,685.67 = 2,027.58 : x
  2. Step 2: Convert to fraction form
    3,122.70/4,685.67 = 2,027.58/x
  3. Step 3: Cross multiply
    3,122.70x = 4,685.67 × 2,027.58
  4. Step 4: Simplify right side
    3,122.70x = 9,500,570.78
  5. Step 5: Solve for x
    x = 9,500,570.78/3,122.70
  6. Step 6: Final answer
    x = 3,042.42

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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.