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Finding the Fourth Proportional to 3,174.93, 4,379.04 and 2,055

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Solution

The fourth proportional to 3,174.93, 4,379.04 and 2,055 is: 2,834.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.93 : 4,379.04 = 2,055 : x
  2. Step 2: Convert to fraction form
    3,174.93/4,379.04 = 2,055/x
  3. Step 3: Cross multiply
    3,174.93x = 4,379.04 × 2,055
  4. Step 4: Simplify right side
    3,174.93x = 8,998,927.20
  5. Step 5: Solve for x
    x = 8,998,927.20/3,174.93
  6. Step 6: Final answer
    x = 2,834.37

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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.