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Finding the Fourth Proportional to 2,566.30, 3,849.72 and 834.52

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Solution

The fourth proportional to 2,566.30, 3,849.72 and 834.52 is: 1,251.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.30 : 3,849.72 = 834.52 : x
  2. Step 2: Convert to fraction form
    2,566.30/3,849.72 = 834.52/x
  3. Step 3: Cross multiply
    2,566.30x = 3,849.72 × 834.52
  4. Step 4: Simplify right side
    2,566.30x = 3,212,668.33
  5. Step 5: Solve for x
    x = 3,212,668.33/2,566.30
  6. Step 6: Final answer
    x = 1,251.87

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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.