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Finding the Fourth Proportional to 2,180.79, 3,271.23 and 882.27

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Solution

The fourth proportional to 2,180.79, 3,271.23 and 882.27 is: 1,323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.79 : 3,271.23 = 882.27 : x
  2. Step 2: Convert to fraction form
    2,180.79/3,271.23 = 882.27/x
  3. Step 3: Cross multiply
    2,180.79x = 3,271.23 × 882.27
  4. Step 4: Simplify right side
    2,180.79x = 2,886,108.09
  5. Step 5: Solve for x
    x = 2,886,108.09/2,180.79
  6. Step 6: Final answer
    x = 1,323.42

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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.