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Finding the Fourth Proportional to 2,114.12, 3,171.18 and 882.12

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Solution

The fourth proportional to 2,114.12, 3,171.18 and 882.12 is: 1,323.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.12 : 3,171.18 = 882.12 : x
  2. Step 2: Convert to fraction form
    2,114.12/3,171.18 = 882.12/x
  3. Step 3: Cross multiply
    2,114.12x = 3,171.18 × 882.12
  4. Step 4: Simplify right side
    2,114.12x = 2,797,361.30
  5. Step 5: Solve for x
    x = 2,797,361.30/2,114.12
  6. Step 6: Final answer
    x = 1,323.18

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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.