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Finding the Fourth Proportional to 1,634.21, 2,450.31 and 538.28

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Solution

The fourth proportional to 1,634.21, 2,450.31 and 538.28 is: 807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.21 : 2,450.31 = 538.28 : x
  2. Step 2: Convert to fraction form
    1,634.21/2,450.31 = 538.28/x
  3. Step 3: Cross multiply
    1,634.21x = 2,450.31 × 538.28
  4. Step 4: Simplify right side
    1,634.21x = 1,318,952.87
  5. Step 5: Solve for x
    x = 1,318,952.87/1,634.21
  6. Step 6: Final answer
    x = 807.09

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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.