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Finding the Fourth Proportional to 2,727.88, 4,088.22 and 994.84

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Solution

The fourth proportional to 2,727.88, 4,088.22 and 994.84 is: 1,490.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.88 : 4,088.22 = 994.84 : x
  2. Step 2: Convert to fraction form
    2,727.88/4,088.22 = 994.84/x
  3. Step 3: Cross multiply
    2,727.88x = 4,088.22 × 994.84
  4. Step 4: Simplify right side
    2,727.88x = 4,067,124.78
  5. Step 5: Solve for x
    x = 4,067,124.78/2,727.88
  6. Step 6: Final answer
    x = 1,490.95

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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.