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Finding the Fourth Proportional to 3,276, 4,914.81 and 967.50

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Solution

The fourth proportional to 3,276, 4,914.81 and 967.50 is: 1,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276 : 4,914.81 = 967.50 : x
  2. Step 2: Convert to fraction form
    3,276/4,914.81 = 967.50/x
  3. Step 3: Cross multiply
    3,276x = 4,914.81 × 967.50
  4. Step 4: Simplify right side
    3,276x = 4,755,078.68
  5. Step 5: Solve for x
    x = 4,755,078.68/3,276
  6. Step 6: Final answer
    x = 1,451.49

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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.