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Finding the Fourth Proportional to 3,273.72, 4,909.51 and 1,081.90

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Solution

The fourth proportional to 3,273.72, 4,909.51 and 1,081.90 is: 1,622.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.72 : 4,909.51 = 1,081.90 : x
  2. Step 2: Convert to fraction form
    3,273.72/4,909.51 = 1,081.90/x
  3. Step 3: Cross multiply
    3,273.72x = 4,909.51 × 1,081.90
  4. Step 4: Simplify right side
    3,273.72x = 5,311,598.87
  5. Step 5: Solve for x
    x = 5,311,598.87/3,273.72
  6. Step 6: Final answer
    x = 1,622.50

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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.