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Finding the Fourth Proportional to 2,128.42, 3,191.38 and 828.36

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Solution

The fourth proportional to 2,128.42, 3,191.38 and 828.36 is: 1,242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.42 : 3,191.38 = 828.36 : x
  2. Step 2: Convert to fraction form
    2,128.42/3,191.38 = 828.36/x
  3. Step 3: Cross multiply
    2,128.42x = 3,191.38 × 828.36
  4. Step 4: Simplify right side
    2,128.42x = 2,643,611.54
  5. Step 5: Solve for x
    x = 2,643,611.54/2,128.42
  6. Step 6: Final answer
    x = 1,242.05

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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.