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Finding the Fourth Proportional to 3,484.84, 5,226.18 and 1,634.80

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Solution

The fourth proportional to 3,484.84, 5,226.18 and 1,634.80 is: 2,451.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.84 : 5,226.18 = 1,634.80 : x
  2. Step 2: Convert to fraction form
    3,484.84/5,226.18 = 1,634.80/x
  3. Step 3: Cross multiply
    3,484.84x = 5,226.18 × 1,634.80
  4. Step 4: Simplify right side
    3,484.84x = 8,543,759.06
  5. Step 5: Solve for x
    x = 8,543,759.06/3,484.84
  6. Step 6: Final answer
    x = 2,451.69

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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.