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Finding the Fourth Proportional to 2,982.67, 4,474.49 and 1,034.41

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Solution

The fourth proportional to 2,982.67, 4,474.49 and 1,034.41 is: 1,551.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.67 : 4,474.49 = 1,034.41 : x
  2. Step 2: Convert to fraction form
    2,982.67/4,474.49 = 1,034.41/x
  3. Step 3: Cross multiply
    2,982.67x = 4,474.49 × 1,034.41
  4. Step 4: Simplify right side
    2,982.67x = 4,628,457.20
  5. Step 5: Solve for x
    x = 4,628,457.20/2,982.67
  6. Step 6: Final answer
    x = 1,551.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.