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Finding the Fourth Proportional to 2,189.33, 3,283.99 and 939.63

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Solution

The fourth proportional to 2,189.33, 3,283.99 and 939.63 is: 1,409.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.33 : 3,283.99 = 939.63 : x
  2. Step 2: Convert to fraction form
    2,189.33/3,283.99 = 939.63/x
  3. Step 3: Cross multiply
    2,189.33x = 3,283.99 × 939.63
  4. Step 4: Simplify right side
    2,189.33x = 3,085,730.83
  5. Step 5: Solve for x
    x = 3,085,730.83/2,189.33
  6. Step 6: Final answer
    x = 1,409.44

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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.