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Finding the Fourth Proportional to 1,544.75, 2,317.14 and 449.09

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Solution

The fourth proportional to 1,544.75, 2,317.14 and 449.09 is: 673.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.75 : 2,317.14 = 449.09 : x
  2. Step 2: Convert to fraction form
    1,544.75/2,317.14 = 449.09/x
  3. Step 3: Cross multiply
    1,544.75x = 2,317.14 × 449.09
  4. Step 4: Simplify right side
    1,544.75x = 1,040,614.54
  5. Step 5: Solve for x
    x = 1,040,614.54/1,544.75
  6. Step 6: Final answer
    x = 673.64

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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.