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Finding the Fourth Proportional to 2,677.96, 4,016.44 and 828.84

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Solution

The fourth proportional to 2,677.96, 4,016.44 and 828.84 is: 1,243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.96 : 4,016.44 = 828.84 : x
  2. Step 2: Convert to fraction form
    2,677.96/4,016.44 = 828.84/x
  3. Step 3: Cross multiply
    2,677.96x = 4,016.44 × 828.84
  4. Step 4: Simplify right side
    2,677.96x = 3,328,986.13
  5. Step 5: Solve for x
    x = 3,328,986.13/2,677.96
  6. Step 6: Final answer
    x = 1,243.11

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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.