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Finding the Fourth Proportional to 2,553.70, 3,523.80 and 1,434.49

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Solution

The fourth proportional to 2,553.70, 3,523.80 and 1,434.49 is: 1,979.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.70 : 3,523.80 = 1,434.49 : x
  2. Step 2: Convert to fraction form
    2,553.70/3,523.80 = 1,434.49/x
  3. Step 3: Cross multiply
    2,553.70x = 3,523.80 × 1,434.49
  4. Step 4: Simplify right side
    2,553.70x = 5,054,855.86
  5. Step 5: Solve for x
    x = 5,054,855.86/2,553.70
  6. Step 6: Final answer
    x = 1,979.42

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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.