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Finding the Fourth Proportional to 1,668.26, 2,501.67 and 513.38

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Solution

The fourth proportional to 1,668.26, 2,501.67 and 513.38 is: 769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.26 : 2,501.67 = 513.38 : x
  2. Step 2: Convert to fraction form
    1,668.26/2,501.67 = 513.38/x
  3. Step 3: Cross multiply
    1,668.26x = 2,501.67 × 513.38
  4. Step 4: Simplify right side
    1,668.26x = 1,284,315.52
  5. Step 5: Solve for x
    x = 1,284,315.52/1,668.26
  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.