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Finding the Fourth Proportional to 2,137, 2,949.08 and 1,205.52

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Solution

The fourth proportional to 2,137, 2,949.08 and 1,205.52 is: 1,663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137 : 2,949.08 = 1,205.52 : x
  2. Step 2: Convert to fraction form
    2,137/2,949.08 = 1,205.52/x
  3. Step 3: Cross multiply
    2,137x = 2,949.08 × 1,205.52
  4. Step 4: Simplify right side
    2,137x = 3,555,174.92
  5. Step 5: Solve for x
    x = 3,555,174.92/2,137
  6. Step 6: Final answer
    x = 1,663.63

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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.