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Finding the Fourth Proportional to 2,929.68, 4,394.21 and 738.27

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Solution

The fourth proportional to 2,929.68, 4,394.21 and 738.27 is: 1,107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.68 : 4,394.21 = 738.27 : x
  2. Step 2: Convert to fraction form
    2,929.68/4,394.21 = 738.27/x
  3. Step 3: Cross multiply
    2,929.68x = 4,394.21 × 738.27
  4. Step 4: Simplify right side
    2,929.68x = 3,244,109.73
  5. Step 5: Solve for x
    x = 3,244,109.73/2,929.68
  6. Step 6: Final answer
    x = 1,107.33

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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.