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Finding the Fourth Proportional to 2,677.42, 4,016.05 and 828.27

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Solution

The fourth proportional to 2,677.42, 4,016.05 and 828.27 is: 1,242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.42 : 4,016.05 = 828.27 : x
  2. Step 2: Convert to fraction form
    2,677.42/4,016.05 = 828.27/x
  3. Step 3: Cross multiply
    2,677.42x = 4,016.05 × 828.27
  4. Step 4: Simplify right side
    2,677.42x = 3,326,373.73
  5. Step 5: Solve for x
    x = 3,326,373.73/2,677.42
  6. Step 6: Final answer
    x = 1,242.38

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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.