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Finding the Fourth Proportional to 2,269.36, 3,396.36 and 1,294

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Solution

The fourth proportional to 2,269.36, 3,396.36 and 1,294 is: 1,936.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.36 : 3,396.36 = 1,294 : x
  2. Step 2: Convert to fraction form
    2,269.36/3,396.36 = 1,294/x
  3. Step 3: Cross multiply
    2,269.36x = 3,396.36 × 1,294
  4. Step 4: Simplify right side
    2,269.36x = 4,394,889.84
  5. Step 5: Solve for x
    x = 4,394,889.84/2,269.36
  6. Step 6: Final answer
    x = 1,936.62

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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.