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Finding the Fourth Proportional to 2,067.48, 3,086.04 and 1,894.32

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Solution

The fourth proportional to 2,067.48, 3,086.04 and 1,894.32 is: 2,827.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.48 : 3,086.04 = 1,894.32 : x
  2. Step 2: Convert to fraction form
    2,067.48/3,086.04 = 1,894.32/x
  3. Step 3: Cross multiply
    2,067.48x = 3,086.04 × 1,894.32
  4. Step 4: Simplify right side
    2,067.48x = 5,845,947.29
  5. Step 5: Solve for x
    x = 5,845,947.29/2,067.48
  6. Step 6: Final answer
    x = 2,827.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.