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Finding the Fourth Proportional to 4,115.70, 6,170.99 and 1,650.90

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Solution

The fourth proportional to 4,115.70, 6,170.99 and 1,650.90 is: 2,475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.70 : 6,170.99 = 1,650.90 : x
  2. Step 2: Convert to fraction form
    4,115.70/6,170.99 = 1,650.90/x
  3. Step 3: Cross multiply
    4,115.70x = 6,170.99 × 1,650.90
  4. Step 4: Simplify right side
    4,115.70x = 10,187,687.39
  5. Step 5: Solve for x
    x = 10,187,687.39/4,115.70
  6. Step 6: Final answer
    x = 2,475.32

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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.