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Finding the Fourth Proportional to 2,379.82, 3,284.15 and 1,317.66

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Solution

The fourth proportional to 2,379.82, 3,284.15 and 1,317.66 is: 1,818.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.82 : 3,284.15 = 1,317.66 : x
  2. Step 2: Convert to fraction form
    2,379.82/3,284.15 = 1,317.66/x
  3. Step 3: Cross multiply
    2,379.82x = 3,284.15 × 1,317.66
  4. Step 4: Simplify right side
    2,379.82x = 4,327,396.38
  5. Step 5: Solve for x
    x = 4,327,396.38/2,379.82
  6. Step 6: Final answer
    x = 1,818.37

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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.