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Finding the Fourth Proportional to 2,668.12, 3,680.98 and 1,619.80

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Solution

The fourth proportional to 2,668.12, 3,680.98 and 1,619.80 is: 2,234.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.12 : 3,680.98 = 1,619.80 : x
  2. Step 2: Convert to fraction form
    2,668.12/3,680.98 = 1,619.80/x
  3. Step 3: Cross multiply
    2,668.12x = 3,680.98 × 1,619.80
  4. Step 4: Simplify right side
    2,668.12x = 5,962,451.40
  5. Step 5: Solve for x
    x = 5,962,451.40/2,668.12
  6. Step 6: Final answer
    x = 2,234.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.