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Finding the Fourth Proportional to 3,093.88, 4,269.56 and 1,696.64

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Solution

The fourth proportional to 3,093.88, 4,269.56 and 1,696.64 is: 2,341.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.88 : 4,269.56 = 1,696.64 : x
  2. Step 2: Convert to fraction form
    3,093.88/4,269.56 = 1,696.64/x
  3. Step 3: Cross multiply
    3,093.88x = 4,269.56 × 1,696.64
  4. Step 4: Simplify right side
    3,093.88x = 7,243,906.28
  5. Step 5: Solve for x
    x = 7,243,906.28/3,093.88
  6. Step 6: Final answer
    x = 2,341.37

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1.5x scale

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.