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Finding the Fourth Proportional to 2,182.03, 3,273.05 and 884.41

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Solution

The fourth proportional to 2,182.03, 3,273.05 and 884.41 is: 1,326.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.03 : 3,273.05 = 884.41 : x
  2. Step 2: Convert to fraction form
    2,182.03/3,273.05 = 884.41/x
  3. Step 3: Cross multiply
    2,182.03x = 3,273.05 × 884.41
  4. Step 4: Simplify right side
    2,182.03x = 2,894,718.15
  5. Step 5: Solve for x
    x = 2,894,718.15/2,182.03
  6. Step 6: Final answer
    x = 1,326.62

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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.