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Finding the Fourth Proportional to 2,138.26, 2,949.82 and 1,253.67

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Solution

The fourth proportional to 2,138.26, 2,949.82 and 1,253.67 is: 1,729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.26 : 2,949.82 = 1,253.67 : x
  2. Step 2: Convert to fraction form
    2,138.26/2,949.82 = 1,253.67/x
  3. Step 3: Cross multiply
    2,138.26x = 2,949.82 × 1,253.67
  4. Step 4: Simplify right side
    2,138.26x = 3,698,100.84
  5. Step 5: Solve for x
    x = 3,698,100.84/2,138.26
  6. Step 6: Final answer
    x = 1,729.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.