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Finding the Fourth Proportional to 3,163.16, 4,744.72 and 1,703

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Solution

The fourth proportional to 3,163.16, 4,744.72 and 1,703 is: 2,554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.16 : 4,744.72 = 1,703 : x
  2. Step 2: Convert to fraction form
    3,163.16/4,744.72 = 1,703/x
  3. Step 3: Cross multiply
    3,163.16x = 4,744.72 × 1,703
  4. Step 4: Simplify right side
    3,163.16x = 8,080,258.16
  5. Step 5: Solve for x
    x = 8,080,258.16/3,163.16
  6. Step 6: Final answer
    x = 2,554.49

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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.