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Finding the Fourth Proportional to 2,305.14, 3,470.01 and 2,067

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Solution

The fourth proportional to 2,305.14, 3,470.01 and 2,067 is: 3,111.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.14 : 3,470.01 = 2,067 : x
  2. Step 2: Convert to fraction form
    2,305.14/3,470.01 = 2,067/x
  3. Step 3: Cross multiply
    2,305.14x = 3,470.01 × 2,067
  4. Step 4: Simplify right side
    2,305.14x = 7,172,510.67
  5. Step 5: Solve for x
    x = 7,172,510.67/2,305.14
  6. Step 6: Final answer
    x = 3,111.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.