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Finding the Fourth Proportional to 4,266.97, 6,401.49 and 1,305.43

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Solution

The fourth proportional to 4,266.97, 6,401.49 and 1,305.43 is: 1,958.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.97 : 6,401.49 = 1,305.43 : x
  2. Step 2: Convert to fraction form
    4,266.97/6,401.49 = 1,305.43/x
  3. Step 3: Cross multiply
    4,266.97x = 6,401.49 × 1,305.43
  4. Step 4: Simplify right side
    4,266.97x = 8,356,697.09
  5. Step 5: Solve for x
    x = 8,356,697.09/4,266.97
  6. Step 6: Final answer
    x = 1,958.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.