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Finding the Fourth Proportional to 2,553.14, 3,523.23 and 1,434.17

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Solution

The fourth proportional to 2,553.14, 3,523.23 and 1,434.17 is: 1,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.14 : 3,523.23 = 1,434.17 : x
  2. Step 2: Convert to fraction form
    2,553.14/3,523.23 = 1,434.17/x
  3. Step 3: Cross multiply
    2,553.14x = 3,523.23 × 1,434.17
  4. Step 4: Simplify right side
    2,553.14x = 5,052,910.77
  5. Step 5: Solve for x
    x = 5,052,910.77/2,553.14
  6. Step 6: Final answer
    x = 1,979.10

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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.