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Finding the Fourth Proportional to 2,767.80, 4,157.46 and 2,194.68

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Solution

The fourth proportional to 2,767.80, 4,157.46 and 2,194.68 is: 3,296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.80 : 4,157.46 = 2,194.68 : x
  2. Step 2: Convert to fraction form
    2,767.80/4,157.46 = 2,194.68/x
  3. Step 3: Cross multiply
    2,767.80x = 4,157.46 × 2,194.68
  4. Step 4: Simplify right side
    2,767.80x = 9,124,294.31
  5. Step 5: Solve for x
    x = 9,124,294.31/2,767.80
  6. Step 6: Final answer
    x = 3,296.59

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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.