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Finding the Fourth Proportional to 2,182.28, 3,273.30 and 538.82

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Solution

The fourth proportional to 2,182.28, 3,273.30 and 538.82 is: 808.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.28 : 3,273.30 = 538.82 : x
  2. Step 2: Convert to fraction form
    2,182.28/3,273.30 = 538.82/x
  3. Step 3: Cross multiply
    2,182.28x = 3,273.30 × 538.82
  4. Step 4: Simplify right side
    2,182.28x = 1,763,719.51
  5. Step 5: Solve for x
    x = 1,763,719.51/2,182.28
  6. Step 6: Final answer
    x = 808.20

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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.