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Finding the Fourth Proportional to 2,181.03, 3,271.85 and 882.20

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Solution

The fourth proportional to 2,181.03, 3,271.85 and 882.20 is: 1,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.03 : 3,271.85 = 882.20 : x
  2. Step 2: Convert to fraction form
    2,181.03/3,271.85 = 882.20/x
  3. Step 3: Cross multiply
    2,181.03x = 3,271.85 × 882.20
  4. Step 4: Simplify right side
    2,181.03x = 2,886,405.30
  5. Step 5: Solve for x
    x = 2,886,405.30/2,181.03
  6. Step 6: Final answer
    x = 1,323.41

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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.