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Finding the Fourth Proportional to 2,768.25, 4,147.05 and 2,180.14

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Solution

The fourth proportional to 2,768.25, 4,147.05 and 2,180.14 is: 3,266.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.25 : 4,147.05 = 2,180.14 : x
  2. Step 2: Convert to fraction form
    2,768.25/4,147.05 = 2,180.14/x
  3. Step 3: Cross multiply
    2,768.25x = 4,147.05 × 2,180.14
  4. Step 4: Simplify right side
    2,768.25x = 9,041,146.80
  5. Step 5: Solve for x
    x = 9,041,146.80/2,768.25
  6. Step 6: Final answer
    x = 3,266.01

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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.