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Finding the Fourth Proportional to 3,320.50, 4,980.82 and 855.34

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Solution

The fourth proportional to 3,320.50, 4,980.82 and 855.34 is: 1,283.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,320.50 : 4,980.82 = 855.34 : x
  2. Step 2: Convert to fraction form
    3,320.50/4,980.82 = 855.34/x
  3. Step 3: Cross multiply
    3,320.50x = 4,980.82 × 855.34
  4. Step 4: Simplify right side
    3,320.50x = 4,260,294.58
  5. Step 5: Solve for x
    x = 4,260,294.58/3,320.50
  6. Step 6: Final answer
    x = 1,283.03

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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.