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Finding the Fourth Proportional to 4,662.98, 6,982.91 and 2,902.44

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Solution

The fourth proportional to 4,662.98, 6,982.91 and 2,902.44 is: 4,346.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.98 : 6,982.91 = 2,902.44 : x
  2. Step 2: Convert to fraction form
    4,662.98/6,982.91 = 2,902.44/x
  3. Step 3: Cross multiply
    4,662.98x = 6,982.91 × 2,902.44
  4. Step 4: Simplify right side
    4,662.98x = 20,267,477.30
  5. Step 5: Solve for x
    x = 20,267,477.30/4,662.98
  6. Step 6: Final answer
    x = 4,346.46

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1.5x scale

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.