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Finding the Fourth Proportional to 1,895, 2,615.14 and 1,067

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Solution

The fourth proportional to 1,895, 2,615.14 and 1,067 is: 1,472.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895 : 2,615.14 = 1,067 : x
  2. Step 2: Convert to fraction form
    1,895/2,615.14 = 1,067/x
  3. Step 3: Cross multiply
    1,895x = 2,615.14 × 1,067
  4. Step 4: Simplify right side
    1,895x = 2,790,354.38
  5. Step 5: Solve for x
    x = 2,790,354.38/1,895
  6. Step 6: Final answer
    x = 1,472.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.