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Finding the Fourth Proportional to 2,566.05, 3,849.35 and 834.27

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Solution

The fourth proportional to 2,566.05, 3,849.35 and 834.27 is: 1,251.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.05 : 3,849.35 = 834.27 : x
  2. Step 2: Convert to fraction form
    2,566.05/3,849.35 = 834.27/x
  3. Step 3: Cross multiply
    2,566.05x = 3,849.35 × 834.27
  4. Step 4: Simplify right side
    2,566.05x = 3,211,393.05
  5. Step 5: Solve for x
    x = 3,211,393.05/2,566.05
  6. Step 6: Final answer
    x = 1,251.49

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Why These Related Problems?

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