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Finding the Fourth Proportional to 2,170.50, 3,257.10 and 1,684.50

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Solution

The fourth proportional to 2,170.50, 3,257.10 and 1,684.50 is: 2,527.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.50 : 3,257.10 = 1,684.50 : x
  2. Step 2: Convert to fraction form
    2,170.50/3,257.10 = 1,684.50/x
  3. Step 3: Cross multiply
    2,170.50x = 3,257.10 × 1,684.50
  4. Step 4: Simplify right side
    2,170.50x = 5,486,584.95
  5. Step 5: Solve for x
    x = 5,486,584.95/2,170.50
  6. Step 6: Final answer
    x = 2,527.80

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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.