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Finding the Fourth Proportional to 2,666.26, 3,997.50 and 1,021.42

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Solution

The fourth proportional to 2,666.26, 3,997.50 and 1,021.42 is: 1,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.26 : 3,997.50 = 1,021.42 : x
  2. Step 2: Convert to fraction form
    2,666.26/3,997.50 = 1,021.42/x
  3. Step 3: Cross multiply
    2,666.26x = 3,997.50 × 1,021.42
  4. Step 4: Simplify right side
    2,666.26x = 4,083,126.45
  5. Step 5: Solve for x
    x = 4,083,126.45/2,666.26
  6. Step 6: Final answer
    x = 1,531.41

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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.