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Finding the Fourth Proportional to 3,279.94, 4,919.89 and 814.76

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Solution

The fourth proportional to 3,279.94, 4,919.89 and 814.76 is: 1,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.94 : 4,919.89 = 814.76 : x
  2. Step 2: Convert to fraction form
    3,279.94/4,919.89 = 814.76/x
  3. Step 3: Cross multiply
    3,279.94x = 4,919.89 × 814.76
  4. Step 4: Simplify right side
    3,279.94x = 4,008,531.61
  5. Step 5: Solve for x
    x = 4,008,531.61/3,279.94
  6. Step 6: Final answer
    x = 1,222.14

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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.