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Finding the Fourth Proportional to 2,938, 4,054.64 and 1,696

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Solution

The fourth proportional to 2,938, 4,054.64 and 1,696 is: 2,340.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938 : 4,054.64 = 1,696 : x
  2. Step 2: Convert to fraction form
    2,938/4,054.64 = 1,696/x
  3. Step 3: Cross multiply
    2,938x = 4,054.64 × 1,696
  4. Step 4: Simplify right side
    2,938x = 6,876,669.44
  5. Step 5: Solve for x
    x = 6,876,669.44/2,938
  6. Step 6: Final answer
    x = 2,340.60

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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.