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Finding the Fourth Proportional to 3,143.75, 4,708.60 and 2,449.31

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Solution

The fourth proportional to 3,143.75, 4,708.60 and 2,449.31 is: 3,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.75 : 4,708.60 = 2,449.31 : x
  2. Step 2: Convert to fraction form
    3,143.75/4,708.60 = 2,449.31/x
  3. Step 3: Cross multiply
    3,143.75x = 4,708.60 × 2,449.31
  4. Step 4: Simplify right side
    3,143.75x = 11,532,791.40
  5. Step 5: Solve for x
    x = 11,532,791.40/3,143.75
  6. Step 6: Final answer
    x = 3,668.49

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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.