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Finding the Fourth Proportional to 2,226.84, 3,072.48 and 1,294.80

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Solution

The fourth proportional to 2,226.84, 3,072.48 and 1,294.80 is: 1,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.84 : 3,072.48 = 1,294.80 : x
  2. Step 2: Convert to fraction form
    2,226.84/3,072.48 = 1,294.80/x
  3. Step 3: Cross multiply
    2,226.84x = 3,072.48 × 1,294.80
  4. Step 4: Simplify right side
    2,226.84x = 3,978,247.10
  5. Step 5: Solve for x
    x = 3,978,247.10/2,226.84
  6. Step 6: Final answer
    x = 1,786.50

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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.