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Finding the Fourth Proportional to 4,049.84, 6,069.72 and 1,738.64

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Solution

The fourth proportional to 4,049.84, 6,069.72 and 1,738.64 is: 2,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,049.84 : 6,069.72 = 1,738.64 : x
  2. Step 2: Convert to fraction form
    4,049.84/6,069.72 = 1,738.64/x
  3. Step 3: Cross multiply
    4,049.84x = 6,069.72 × 1,738.64
  4. Step 4: Simplify right side
    4,049.84x = 10,553,057.98
  5. Step 5: Solve for x
    x = 10,553,057.98/4,049.84
  6. Step 6: Final answer
    x = 2,605.80

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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.