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Finding the Fourth Proportional to 3,273.30, 4,912 and 1,325.50

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Solution

The fourth proportional to 3,273.30, 4,912 and 1,325.50 is: 1,989.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.30 : 4,912 = 1,325.50 : x
  2. Step 2: Convert to fraction form
    3,273.30/4,912 = 1,325.50/x
  3. Step 3: Cross multiply
    3,273.30x = 4,912 × 1,325.50
  4. Step 4: Simplify right side
    3,273.30x = 6,510,856
  5. Step 5: Solve for x
    x = 6,510,856/3,273.30
  6. Step 6: Final answer
    x = 1,989.08

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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.