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Finding the Fourth Proportional to 2,567, 3,851.16 and 1,028

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Solution

The fourth proportional to 2,567, 3,851.16 and 1,028 is: 1,542.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567 : 3,851.16 = 1,028 : x
  2. Step 2: Convert to fraction form
    2,567/3,851.16 = 1,028/x
  3. Step 3: Cross multiply
    2,567x = 3,851.16 × 1,028
  4. Step 4: Simplify right side
    2,567x = 3,958,992.48
  5. Step 5: Solve for x
    x = 3,958,992.48/2,567
  6. Step 6: Final answer
    x = 1,542.26

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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.