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Finding the Fourth Proportional to 2,149.53, 3,224.29 and 589.53

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Solution

The fourth proportional to 2,149.53, 3,224.29 and 589.53 is: 884.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.53 : 3,224.29 = 589.53 : x
  2. Step 2: Convert to fraction form
    2,149.53/3,224.29 = 589.53/x
  3. Step 3: Cross multiply
    2,149.53x = 3,224.29 × 589.53
  4. Step 4: Simplify right side
    2,149.53x = 1,900,815.68
  5. Step 5: Solve for x
    x = 1,900,815.68/2,149.53
  6. Step 6: Final answer
    x = 884.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.