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Finding the Fourth Proportional to 4,604.50, 6,907.76 and 1,682.73

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Solution

The fourth proportional to 4,604.50, 6,907.76 and 1,682.73 is: 2,524.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.50 : 6,907.76 = 1,682.73 : x
  2. Step 2: Convert to fraction form
    4,604.50/6,907.76 = 1,682.73/x
  3. Step 3: Cross multiply
    4,604.50x = 6,907.76 × 1,682.73
  4. Step 4: Simplify right side
    4,604.50x = 11,623,894.98
  5. Step 5: Solve for x
    x = 11,623,894.98/4,604.50
  6. Step 6: Final answer
    x = 2,524.46

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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.