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Finding the Fourth Proportional to 2,181.23, 3,271.83 and 882.68

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Solution

The fourth proportional to 2,181.23, 3,271.83 and 882.68 is: 1,324.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.23 : 3,271.83 = 882.68 : x
  2. Step 2: Convert to fraction form
    2,181.23/3,271.83 = 882.68/x
  3. Step 3: Cross multiply
    2,181.23x = 3,271.83 × 882.68
  4. Step 4: Simplify right side
    2,181.23x = 2,887,978.90
  5. Step 5: Solve for x
    x = 2,887,978.90/2,181.23
  6. Step 6: Final answer
    x = 1,324.01

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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.