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Finding the Fourth Proportional to 2,067.29, 2,853 and 1,182.90

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Solution

The fourth proportional to 2,067.29, 2,853 and 1,182.90 is: 1,632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.29 : 2,853 = 1,182.90 : x
  2. Step 2: Convert to fraction form
    2,067.29/2,853 = 1,182.90/x
  3. Step 3: Cross multiply
    2,067.29x = 2,853 × 1,182.90
  4. Step 4: Simplify right side
    2,067.29x = 3,374,813.70
  5. Step 5: Solve for x
    x = 3,374,813.70/2,067.29
  6. Step 6: Final answer
    x = 1,632.49

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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.