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Finding the Fourth Proportional to 3,065.49, 4,227.91 and 2,003.17

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Solution

The fourth proportional to 3,065.49, 4,227.91 and 2,003.17 is: 2,762.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.49 : 4,227.91 = 2,003.17 : x
  2. Step 2: Convert to fraction form
    3,065.49/4,227.91 = 2,003.17/x
  3. Step 3: Cross multiply
    3,065.49x = 4,227.91 × 2,003.17
  4. Step 4: Simplify right side
    3,065.49x = 8,469,222.47
  5. Step 5: Solve for x
    x = 8,469,222.47/3,065.49
  6. Step 6: Final answer
    x = 2,762.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.