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Finding the Fourth Proportional to 1,483.26, 2,226.81 and 936.54

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Solution

The fourth proportional to 1,483.26, 2,226.81 and 936.54 is: 1,406.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.26 : 2,226.81 = 936.54 : x
  2. Step 2: Convert to fraction form
    1,483.26/2,226.81 = 936.54/x
  3. Step 3: Cross multiply
    1,483.26x = 2,226.81 × 936.54
  4. Step 4: Simplify right side
    1,483.26x = 2,085,496.64
  5. Step 5: Solve for x
    x = 2,085,496.64/1,483.26
  6. Step 6: Final answer
    x = 1,406.02

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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.