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Finding the Fourth Proportional to 2,455.82, 3,685.27 and 994.97

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Solution

The fourth proportional to 2,455.82, 3,685.27 and 994.97 is: 1,493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.82 : 3,685.27 = 994.97 : x
  2. Step 2: Convert to fraction form
    2,455.82/3,685.27 = 994.97/x
  3. Step 3: Cross multiply
    2,455.82x = 3,685.27 × 994.97
  4. Step 4: Simplify right side
    2,455.82x = 3,666,739.82
  5. Step 5: Solve for x
    x = 3,666,739.82/2,455.82
  6. Step 6: Final answer
    x = 1,493.08

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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.