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Finding the Fourth Proportional to 2,982.02, 4,478.49 and 2,854.44

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Solution

The fourth proportional to 2,982.02, 4,478.49 and 2,854.44 is: 4,286.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.02 : 4,478.49 = 2,854.44 : x
  2. Step 2: Convert to fraction form
    2,982.02/4,478.49 = 2,854.44/x
  3. Step 3: Cross multiply
    2,982.02x = 4,478.49 × 2,854.44
  4. Step 4: Simplify right side
    2,982.02x = 12,783,581.00
  5. Step 5: Solve for x
    x = 12,783,581.00/2,982.02
  6. Step 6: Final answer
    x = 4,286.89

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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.