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Finding the Fourth Proportional to 2,079.51, 3,104.04 and 1,833.50

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Solution

The fourth proportional to 2,079.51, 3,104.04 and 1,833.50 is: 2,736.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.51 : 3,104.04 = 1,833.50 : x
  2. Step 2: Convert to fraction form
    2,079.51/3,104.04 = 1,833.50/x
  3. Step 3: Cross multiply
    2,079.51x = 3,104.04 × 1,833.50
  4. Step 4: Simplify right side
    2,079.51x = 5,691,241.82
  5. Step 5: Solve for x
    x = 5,691,241.82/2,079.51
  6. Step 6: Final answer
    x = 2,736.82

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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.