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Finding the Fourth Proportional to 1,662.41, 2,494.20 and 738.05

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Solution

The fourth proportional to 1,662.41, 2,494.20 and 738.05 is: 1,107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.41 : 2,494.20 = 738.05 : x
  2. Step 2: Convert to fraction form
    1,662.41/2,494.20 = 738.05/x
  3. Step 3: Cross multiply
    1,662.41x = 2,494.20 × 738.05
  4. Step 4: Simplify right side
    1,662.41x = 1,840,844.31
  5. Step 5: Solve for x
    x = 1,840,844.31/1,662.41
  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.