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Finding the Fourth Proportional to 6,190.57, 9,284.91 and 2,031

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Solution

The fourth proportional to 6,190.57, 9,284.91 and 2,031 is: 3,046.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.57 : 9,284.91 = 2,031 : x
  2. Step 2: Convert to fraction form
    6,190.57/9,284.91 = 2,031/x
  3. Step 3: Cross multiply
    6,190.57x = 9,284.91 × 2,031
  4. Step 4: Simplify right side
    6,190.57x = 18,857,652.21
  5. Step 5: Solve for x
    x = 18,857,652.21/6,190.57
  6. Step 6: Final answer
    x = 3,046.19

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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.