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Finding the Fourth Proportional to 2,678.68, 3,694.96 and 1,770.19

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Solution

The fourth proportional to 2,678.68, 3,694.96 and 1,770.19 is: 2,441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.68 : 3,694.96 = 1,770.19 : x
  2. Step 2: Convert to fraction form
    2,678.68/3,694.96 = 1,770.19/x
  3. Step 3: Cross multiply
    2,678.68x = 3,694.96 × 1,770.19
  4. Step 4: Simplify right side
    2,678.68x = 6,540,788.56
  5. Step 5: Solve for x
    x = 6,540,788.56/2,678.68
  6. Step 6: Final answer
    x = 2,441.80

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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.