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Finding the Fourth Proportional to 2,601.50, 3,892.64 and 2,306.66

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Solution

The fourth proportional to 2,601.50, 3,892.64 and 2,306.66 is: 3,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.50 : 3,892.64 = 2,306.66 : x
  2. Step 2: Convert to fraction form
    2,601.50/3,892.64 = 2,306.66/x
  3. Step 3: Cross multiply
    2,601.50x = 3,892.64 × 2,306.66
  4. Step 4: Simplify right side
    2,601.50x = 8,978,965.99
  5. Step 5: Solve for x
    x = 8,978,965.99/2,601.50
  6. Step 6: Final answer
    x = 3,451.46

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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.