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Finding the Fourth Proportional to 2,137.62, 2,949.72 and 1,253.26

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Solution

The fourth proportional to 2,137.62, 2,949.72 and 1,253.26 is: 1,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.62 : 2,949.72 = 1,253.26 : x
  2. Step 2: Convert to fraction form
    2,137.62/2,949.72 = 1,253.26/x
  3. Step 3: Cross multiply
    2,137.62x = 2,949.72 × 1,253.26
  4. Step 4: Simplify right side
    2,137.62x = 3,696,766.09
  5. Step 5: Solve for x
    x = 3,696,766.09/2,137.62
  6. Step 6: Final answer
    x = 1,729.38

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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.