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Finding the Fourth Proportional to 2,262.72, 3,388.24 and 1,896.56

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Solution

The fourth proportional to 2,262.72, 3,388.24 and 1,896.56 is: 2,839.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.72 : 3,388.24 = 1,896.56 : x
  2. Step 2: Convert to fraction form
    2,262.72/3,388.24 = 1,896.56/x
  3. Step 3: Cross multiply
    2,262.72x = 3,388.24 × 1,896.56
  4. Step 4: Simplify right side
    2,262.72x = 6,426,000.45
  5. Step 5: Solve for x
    x = 6,426,000.45/2,262.72
  6. Step 6: Final answer
    x = 2,839.95

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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.