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Finding the Fourth Proportional to 2,992.80, 4,489.20 and 2,822.70

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Solution

The fourth proportional to 2,992.80, 4,489.20 and 2,822.70 is: 4,234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.80 : 4,489.20 = 2,822.70 : x
  2. Step 2: Convert to fraction form
    2,992.80/4,489.20 = 2,822.70/x
  3. Step 3: Cross multiply
    2,992.80x = 4,489.20 × 2,822.70
  4. Step 4: Simplify right side
    2,992.80x = 12,671,664.84
  5. Step 5: Solve for x
    x = 12,671,664.84/2,992.80
  6. Step 6: Final answer
    x = 4,234.05

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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.