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Finding the Fourth Proportional to 2,105.93, 3,149.67 and 1,470.85

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Solution

The fourth proportional to 2,105.93, 3,149.67 and 1,470.85 is: 2,199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.93 : 3,149.67 = 1,470.85 : x
  2. Step 2: Convert to fraction form
    2,105.93/3,149.67 = 1,470.85/x
  3. Step 3: Cross multiply
    2,105.93x = 3,149.67 × 1,470.85
  4. Step 4: Simplify right side
    2,105.93x = 4,632,692.12
  5. Step 5: Solve for x
    x = 4,632,692.12/2,105.93
  6. Step 6: Final answer
    x = 2,199.83

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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.