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Finding the Fourth Proportional to 2,226.34, 3,072.72 and 1,294.84

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Solution

The fourth proportional to 2,226.34, 3,072.72 and 1,294.84 is: 1,787.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.34 : 3,072.72 = 1,294.84 : x
  2. Step 2: Convert to fraction form
    2,226.34/3,072.72 = 1,294.84/x
  3. Step 3: Cross multiply
    2,226.34x = 3,072.72 × 1,294.84
  4. Step 4: Simplify right side
    2,226.34x = 3,978,680.76
  5. Step 5: Solve for x
    x = 3,978,680.76/2,226.34
  6. Step 6: Final answer
    x = 1,787.09

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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.