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Finding the Fourth Proportional to 3,093.25, 4,268.69 and 1,696

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Solution

The fourth proportional to 3,093.25, 4,268.69 and 1,696 is: 2,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.25 : 4,268.69 = 1,696 : x
  2. Step 2: Convert to fraction form
    3,093.25/4,268.69 = 1,696/x
  3. Step 3: Cross multiply
    3,093.25x = 4,268.69 × 1,696
  4. Step 4: Simplify right side
    3,093.25x = 7,239,689.76
  5. Step 5: Solve for x
    x = 7,239,689.76/3,093.25
  6. Step 6: Final answer
    x = 2,340.48

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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.