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Finding the Fourth Proportional to 2,182.50, 3,273.66 and 539.01

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Solution

The fourth proportional to 2,182.50, 3,273.66 and 539.01 is: 808.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.50 : 3,273.66 = 539.01 : x
  2. Step 2: Convert to fraction form
    2,182.50/3,273.66 = 539.01/x
  3. Step 3: Cross multiply
    2,182.50x = 3,273.66 × 539.01
  4. Step 4: Simplify right side
    2,182.50x = 1,764,525.73
  5. Step 5: Solve for x
    x = 1,764,525.73/2,182.50
  6. Step 6: Final answer
    x = 808.49

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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.