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Finding the Fourth Proportional to 2,226.16, 3,072.54 and 1,294.84

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Solution

The fourth proportional to 2,226.16, 3,072.54 and 1,294.84 is: 1,787.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.16 : 3,072.54 = 1,294.84 : x
  2. Step 2: Convert to fraction form
    2,226.16/3,072.54 = 1,294.84/x
  3. Step 3: Cross multiply
    2,226.16x = 3,072.54 × 1,294.84
  4. Step 4: Simplify right side
    2,226.16x = 3,978,447.69
  5. Step 5: Solve for x
    x = 3,978,447.69/2,226.16
  6. Step 6: Final answer
    x = 1,787.13

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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.