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Finding the Fourth Proportional to 3,238.59, 4,859.49 and 2,142.66

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Solution

The fourth proportional to 3,238.59, 4,859.49 and 2,142.66 is: 3,215.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.59 : 4,859.49 = 2,142.66 : x
  2. Step 2: Convert to fraction form
    3,238.59/4,859.49 = 2,142.66/x
  3. Step 3: Cross multiply
    3,238.59x = 4,859.49 × 2,142.66
  4. Step 4: Simplify right side
    3,238.59x = 10,412,234.84
  5. Step 5: Solve for x
    x = 10,412,234.84/3,238.59
  6. Step 6: Final answer
    x = 3,215.05

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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.