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Finding the Fourth Proportional to 2,060.50, 2,843.49 and 1,232.50

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Solution

The fourth proportional to 2,060.50, 2,843.49 and 1,232.50 is: 1,700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.50 : 2,843.49 = 1,232.50 : x
  2. Step 2: Convert to fraction form
    2,060.50/2,843.49 = 1,232.50/x
  3. Step 3: Cross multiply
    2,060.50x = 2,843.49 × 1,232.50
  4. Step 4: Simplify right side
    2,060.50x = 3,504,601.43
  5. Step 5: Solve for x
    x = 3,504,601.43/2,060.50
  6. Step 6: Final answer
    x = 1,700.85

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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.