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Finding the Fourth Proportional to 2,668.20, 3,680.30 and 1,759.20

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Solution

The fourth proportional to 2,668.20, 3,680.30 and 1,759.20 is: 2,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.20 : 3,680.30 = 1,759.20 : x
  2. Step 2: Convert to fraction form
    2,668.20/3,680.30 = 1,759.20/x
  3. Step 3: Cross multiply
    2,668.20x = 3,680.30 × 1,759.20
  4. Step 4: Simplify right side
    2,668.20x = 6,474,383.76
  5. Step 5: Solve for x
    x = 6,474,383.76/2,668.20
  6. Step 6: Final answer
    x = 2,426.50

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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.