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Finding the Fourth Proportional to 2,982.67, 4,474.46 and 902.41

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Solution

The fourth proportional to 2,982.67, 4,474.46 and 902.41 is: 1,353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.67 : 4,474.46 = 902.41 : x
  2. Step 2: Convert to fraction form
    2,982.67/4,474.46 = 902.41/x
  3. Step 3: Cross multiply
    2,982.67x = 4,474.46 × 902.41
  4. Step 4: Simplify right side
    2,982.67x = 4,037,788.52
  5. Step 5: Solve for x
    x = 4,037,788.52/2,982.67
  6. Step 6: Final answer
    x = 1,353.75

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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.