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Finding the Fourth Proportional to 2,935.80, 4,049.28 and 2,493

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Solution

The fourth proportional to 2,935.80, 4,049.28 and 2,493 is: 3,438.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.80 : 4,049.28 = 2,493 : x
  2. Step 2: Convert to fraction form
    2,935.80/4,049.28 = 2,493/x
  3. Step 3: Cross multiply
    2,935.80x = 4,049.28 × 2,493
  4. Step 4: Simplify right side
    2,935.80x = 10,094,855.04
  5. Step 5: Solve for x
    x = 10,094,855.04/2,935.80
  6. Step 6: Final answer
    x = 3,438.54

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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.