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Finding the Fourth Proportional to 2,566.62, 3,850.29 and 834.84

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Solution

The fourth proportional to 2,566.62, 3,850.29 and 834.84 is: 1,252.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.62 : 3,850.29 = 834.84 : x
  2. Step 2: Convert to fraction form
    2,566.62/3,850.29 = 834.84/x
  3. Step 3: Cross multiply
    2,566.62x = 3,850.29 × 834.84
  4. Step 4: Simplify right side
    2,566.62x = 3,214,376.10
  5. Step 5: Solve for x
    x = 3,214,376.10/2,566.62
  6. Step 6: Final answer
    x = 1,252.38

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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.