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Finding the Fourth Proportional to 3,249.70, 4,484.57 and 1,757.61

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Solution

The fourth proportional to 3,249.70, 4,484.57 and 1,757.61 is: 2,425.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.70 : 4,484.57 = 1,757.61 : x
  2. Step 2: Convert to fraction form
    3,249.70/4,484.57 = 1,757.61/x
  3. Step 3: Cross multiply
    3,249.70x = 4,484.57 × 1,757.61
  4. Step 4: Simplify right side
    3,249.70x = 7,882,116.29
  5. Step 5: Solve for x
    x = 7,882,116.29/3,249.70
  6. Step 6: Final answer
    x = 2,425.49

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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.