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Finding the Fourth Proportional to 3,320.98, 4,982.82 and 1,762.74

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Solution

The fourth proportional to 3,320.98, 4,982.82 and 1,762.74 is: 2,644.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,320.98 : 4,982.82 = 1,762.74 : x
  2. Step 2: Convert to fraction form
    3,320.98/4,982.82 = 1,762.74/x
  3. Step 3: Cross multiply
    3,320.98x = 4,982.82 × 1,762.74
  4. Step 4: Simplify right side
    3,320.98x = 8,783,416.13
  5. Step 5: Solve for x
    x = 8,783,416.13/3,320.98
  6. Step 6: Final answer
    x = 2,644.83

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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.