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Finding the Fourth Proportional to 3,273.60, 4,905.24 and 1,954.80

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Solution

The fourth proportional to 3,273.60, 4,905.24 and 1,954.80 is: 2,929.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.60 : 4,905.24 = 1,954.80 : x
  2. Step 2: Convert to fraction form
    3,273.60/4,905.24 = 1,954.80/x
  3. Step 3: Cross multiply
    3,273.60x = 4,905.24 × 1,954.80
  4. Step 4: Simplify right side
    3,273.60x = 9,588,763.15
  5. Step 5: Solve for x
    x = 9,588,763.15/3,273.60
  6. Step 6: Final answer
    x = 2,929.12

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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.