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Finding the Fourth Proportional to 3,274.73, 4,912.41 and 1,053.81

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Solution

The fourth proportional to 3,274.73, 4,912.41 and 1,053.81 is: 1,580.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.73 : 4,912.41 = 1,053.81 : x
  2. Step 2: Convert to fraction form
    3,274.73/4,912.41 = 1,053.81/x
  3. Step 3: Cross multiply
    3,274.73x = 4,912.41 × 1,053.81
  4. Step 4: Simplify right side
    3,274.73x = 5,176,750.73
  5. Step 5: Solve for x
    x = 5,176,750.73/3,274.73
  6. Step 6: Final answer
    x = 1,580.82

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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.