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Finding the Fourth Proportional to 2,379.98, 3,569.97 and 736.49

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Solution

The fourth proportional to 2,379.98, 3,569.97 and 736.49 is: 1,104.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.98 : 3,569.97 = 736.49 : x
  2. Step 2: Convert to fraction form
    2,379.98/3,569.97 = 736.49/x
  3. Step 3: Cross multiply
    2,379.98x = 3,569.97 × 736.49
  4. Step 4: Simplify right side
    2,379.98x = 2,629,247.21
  5. Step 5: Solve for x
    x = 2,629,247.21/2,379.98
  6. Step 6: Final answer
    x = 1,104.74

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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.