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Finding the Fourth Proportional to 2,098.57, 3,147.81 and 517.27

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Solution

The fourth proportional to 2,098.57, 3,147.81 and 517.27 is: 775.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.57 : 3,147.81 = 517.27 : x
  2. Step 2: Convert to fraction form
    2,098.57/3,147.81 = 517.27/x
  3. Step 3: Cross multiply
    2,098.57x = 3,147.81 × 517.27
  4. Step 4: Simplify right side
    2,098.57x = 1,628,267.68
  5. Step 5: Solve for x
    x = 1,628,267.68/2,098.57
  6. Step 6: Final answer
    x = 775.89

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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.