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Finding the Fourth Proportional to 2,672.34, 3,687.02 and 1,553.06

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Solution

The fourth proportional to 2,672.34, 3,687.02 and 1,553.06 is: 2,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.34 : 3,687.02 = 1,553.06 : x
  2. Step 2: Convert to fraction form
    2,672.34/3,687.02 = 1,553.06/x
  3. Step 3: Cross multiply
    2,672.34x = 3,687.02 × 1,553.06
  4. Step 4: Simplify right side
    2,672.34x = 5,726,163.28
  5. Step 5: Solve for x
    x = 5,726,163.28/2,672.34
  6. Step 6: Final answer
    x = 2,142.75

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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.