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Finding the Fourth Proportional to 2,182.38, 3,273.55 and 538.94

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Solution

The fourth proportional to 2,182.38, 3,273.55 and 538.94 is: 808.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.38 : 3,273.55 = 538.94 : x
  2. Step 2: Convert to fraction form
    2,182.38/3,273.55 = 538.94/x
  3. Step 3: Cross multiply
    2,182.38x = 3,273.55 × 538.94
  4. Step 4: Simplify right side
    2,182.38x = 1,764,247.04
  5. Step 5: Solve for x
    x = 1,764,247.04/2,182.38
  6. Step 6: Final answer
    x = 808.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.