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Finding the Fourth Proportional to 3,355, 5,031.20 and 1,163.14

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Solution

The fourth proportional to 3,355, 5,031.20 and 1,163.14 is: 1,744.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,355 : 5,031.20 = 1,163.14 : x
  2. Step 2: Convert to fraction form
    3,355/5,031.20 = 1,163.14/x
  3. Step 3: Cross multiply
    3,355x = 5,031.20 × 1,163.14
  4. Step 4: Simplify right side
    3,355x = 5,851,989.97
  5. Step 5: Solve for x
    x = 5,851,989.97/3,355
  6. Step 6: Final answer
    x = 1,744.26

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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.