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Finding the Fourth Proportional to 1,829.65, 2,743.98 and 513.33

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Solution

The fourth proportional to 1,829.65, 2,743.98 and 513.33 is: 769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.65 : 2,743.98 = 513.33 : x
  2. Step 2: Convert to fraction form
    1,829.65/2,743.98 = 513.33/x
  3. Step 3: Cross multiply
    1,829.65x = 2,743.98 × 513.33
  4. Step 4: Simplify right side
    1,829.65x = 1,408,556.96
  5. Step 5: Solve for x
    x = 1,408,556.96/1,829.65
  6. Step 6: Final answer
    x = 769.85

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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.