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Finding the Fourth Proportional to 2,149.73, 3,224.49 and 589.89

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Solution

The fourth proportional to 2,149.73, 3,224.49 and 589.89 is: 884.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.73 : 3,224.49 = 589.89 : x
  2. Step 2: Convert to fraction form
    2,149.73/3,224.49 = 589.89/x
  3. Step 3: Cross multiply
    2,149.73x = 3,224.49 × 589.89
  4. Step 4: Simplify right side
    2,149.73x = 1,902,094.41
  5. Step 5: Solve for x
    x = 1,902,094.41/2,149.73
  6. Step 6: Final answer
    x = 884.81

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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.