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Finding the Fourth Proportional to 2,677.45, 4,014.73 and 827.77

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Solution

The fourth proportional to 2,677.45, 4,014.73 and 827.77 is: 1,241.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.45 : 4,014.73 = 827.77 : x
  2. Step 2: Convert to fraction form
    2,677.45/4,014.73 = 827.77/x
  3. Step 3: Cross multiply
    2,677.45x = 4,014.73 × 827.77
  4. Step 4: Simplify right side
    2,677.45x = 3,323,273.05
  5. Step 5: Solve for x
    x = 3,323,273.05/2,677.45
  6. Step 6: Final answer
    x = 1,241.21

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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.