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Finding the Fourth Proportional to 3,174.80, 4,379.38 and 2,337.72

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Solution

The fourth proportional to 3,174.80, 4,379.38 and 2,337.72 is: 3,224.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.80 : 4,379.38 = 2,337.72 : x
  2. Step 2: Convert to fraction form
    3,174.80/4,379.38 = 2,337.72/x
  3. Step 3: Cross multiply
    3,174.80x = 4,379.38 × 2,337.72
  4. Step 4: Simplify right side
    3,174.80x = 10,237,764.21
  5. Step 5: Solve for x
    x = 10,237,764.21/3,174.80
  6. Step 6: Final answer
    x = 3,224.70

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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.