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Finding the Fourth Proportional to 2,186, 3,279 and 2,073.68

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Solution

The fourth proportional to 2,186, 3,279 and 2,073.68 is: 3,110.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186 : 3,279 = 2,073.68 : x
  2. Step 2: Convert to fraction form
    2,186/3,279 = 2,073.68/x
  3. Step 3: Cross multiply
    2,186x = 3,279 × 2,073.68
  4. Step 4: Simplify right side
    2,186x = 6,799,596.72
  5. Step 5: Solve for x
    x = 6,799,596.72/2,186
  6. Step 6: Final answer
    x = 3,110.52

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