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Finding the Fourth Proportional to 2,049.33, 3,073.99 and 510.33

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Solution

The fourth proportional to 2,049.33, 3,073.99 and 510.33 is: 765.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.33 : 3,073.99 = 510.33 : x
  2. Step 2: Convert to fraction form
    2,049.33/3,073.99 = 510.33/x
  3. Step 3: Cross multiply
    2,049.33x = 3,073.99 × 510.33
  4. Step 4: Simplify right side
    2,049.33x = 1,568,749.32
  5. Step 5: Solve for x
    x = 1,568,749.32/2,049.33
  6. Step 6: Final answer
    x = 765.49

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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.