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Finding the Fourth Proportional to 2,182.24, 3,273.48 and 883.54

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Solution

The fourth proportional to 2,182.24, 3,273.48 and 883.54 is: 1,325.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.24 : 3,273.48 = 883.54 : x
  2. Step 2: Convert to fraction form
    2,182.24/3,273.48 = 883.54/x
  3. Step 3: Cross multiply
    2,182.24x = 3,273.48 × 883.54
  4. Step 4: Simplify right side
    2,182.24x = 2,892,250.52
  5. Step 5: Solve for x
    x = 2,892,250.52/2,182.24
  6. Step 6: Final answer
    x = 1,325.36

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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.