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Finding the Fourth Proportional to 3,022.29, 4,533.94 and 941.81

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Solution

The fourth proportional to 3,022.29, 4,533.94 and 941.81 is: 1,412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.29 : 4,533.94 = 941.81 : x
  2. Step 2: Convert to fraction form
    3,022.29/4,533.94 = 941.81/x
  3. Step 3: Cross multiply
    3,022.29x = 4,533.94 × 941.81
  4. Step 4: Simplify right side
    3,022.29x = 4,270,110.03
  5. Step 5: Solve for x
    x = 4,270,110.03/3,022.29
  6. Step 6: Final answer
    x = 1,412.87

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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.