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Finding the Fourth Proportional to 2,126.82, 3,191.46 and 828.18

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Solution

The fourth proportional to 2,126.82, 3,191.46 and 828.18 is: 1,242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.82 : 3,191.46 = 828.18 : x
  2. Step 2: Convert to fraction form
    2,126.82/3,191.46 = 828.18/x
  3. Step 3: Cross multiply
    2,126.82x = 3,191.46 × 828.18
  4. Step 4: Simplify right side
    2,126.82x = 2,643,103.34
  5. Step 5: Solve for x
    x = 2,643,103.34/2,126.82
  6. Step 6: Final answer
    x = 1,242.75

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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.