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Finding the Fourth Proportional to 3,275.33, 4,912.98 and 1,976.49

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Solution

The fourth proportional to 3,275.33, 4,912.98 and 1,976.49 is: 2,964.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.33 : 4,912.98 = 1,976.49 : x
  2. Step 2: Convert to fraction form
    3,275.33/4,912.98 = 1,976.49/x
  3. Step 3: Cross multiply
    3,275.33x = 4,912.98 × 1,976.49
  4. Step 4: Simplify right side
    3,275.33x = 9,710,455.84
  5. Step 5: Solve for x
    x = 9,710,455.84/3,275.33
  6. Step 6: Final answer
    x = 2,964.73

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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.