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Finding the Fourth Proportional to 2,677.01, 4,014.03 and 827.61

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Solution

The fourth proportional to 2,677.01, 4,014.03 and 827.61 is: 1,240.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.01 : 4,014.03 = 827.61 : x
  2. Step 2: Convert to fraction form
    2,677.01/4,014.03 = 827.61/x
  3. Step 3: Cross multiply
    2,677.01x = 4,014.03 × 827.61
  4. Step 4: Simplify right side
    2,677.01x = 3,322,039.42
  5. Step 5: Solve for x
    x = 3,322,039.42/2,677.01
  6. Step 6: Final answer
    x = 1,240.95

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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.