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Finding the Fourth Proportional to 2,296.27, 3,446.70 and 1,553.50

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Solution

The fourth proportional to 2,296.27, 3,446.70 and 1,553.50 is: 2,331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.27 : 3,446.70 = 1,553.50 : x
  2. Step 2: Convert to fraction form
    2,296.27/3,446.70 = 1,553.50/x
  3. Step 3: Cross multiply
    2,296.27x = 3,446.70 × 1,553.50
  4. Step 4: Simplify right side
    2,296.27x = 5,354,436.28
  5. Step 5: Solve for x
    x = 5,354,436.28/2,296.27
  6. Step 6: Final answer
    x = 2,331.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.