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Finding the Fourth Proportional to 2,455.31, 3,682.80 and 994.07

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Solution

The fourth proportional to 2,455.31, 3,682.80 and 994.07 is: 1,491.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.31 : 3,682.80 = 994.07 : x
  2. Step 2: Convert to fraction form
    2,455.31/3,682.80 = 994.07/x
  3. Step 3: Cross multiply
    2,455.31x = 3,682.80 × 994.07
  4. Step 4: Simplify right side
    2,455.31x = 3,660,942.58
  5. Step 5: Solve for x
    x = 3,660,942.58/2,455.31
  6. Step 6: Final answer
    x = 1,491.03

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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.