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Finding the Fourth Proportional to 3,093.78, 4,269.48 and 1,696.62

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Solution

The fourth proportional to 3,093.78, 4,269.48 and 1,696.62 is: 2,341.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.78 : 4,269.48 = 1,696.62 : x
  2. Step 2: Convert to fraction form
    3,093.78/4,269.48 = 1,696.62/x
  3. Step 3: Cross multiply
    3,093.78x = 4,269.48 × 1,696.62
  4. Step 4: Simplify right side
    3,093.78x = 7,243,685.16
  5. Step 5: Solve for x
    x = 7,243,685.16/3,093.78
  6. Step 6: Final answer
    x = 2,341.37

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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.