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Finding the Fourth Proportional to 3,278.17, 4,914.68 and 1,633.87

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Solution

The fourth proportional to 3,278.17, 4,914.68 and 1,633.87 is: 2,449.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.17 : 4,914.68 = 1,633.87 : x
  2. Step 2: Convert to fraction form
    3,278.17/4,914.68 = 1,633.87/x
  3. Step 3: Cross multiply
    3,278.17x = 4,914.68 × 1,633.87
  4. Step 4: Simplify right side
    3,278.17x = 8,029,946.19
  5. Step 5: Solve for x
    x = 8,029,946.19/3,278.17
  6. Step 6: Final answer
    x = 2,449.52

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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.