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Finding the Fourth Proportional to 4,266.80, 6,401.16 and 1,958.96

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Solution

The fourth proportional to 4,266.80, 6,401.16 and 1,958.96 is: 2,938.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.80 : 6,401.16 = 1,958.96 : x
  2. Step 2: Convert to fraction form
    4,266.80/6,401.16 = 1,958.96/x
  3. Step 3: Cross multiply
    4,266.80x = 6,401.16 × 1,958.96
  4. Step 4: Simplify right side
    4,266.80x = 12,539,616.39
  5. Step 5: Solve for x
    x = 12,539,616.39/4,266.80
  6. Step 6: Final answer
    x = 2,938.88

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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.