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Finding the Fourth Proportional to 2,175.82, 3,257.52 and 1,443.94

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Solution

The fourth proportional to 2,175.82, 3,257.52 and 1,443.94 is: 2,161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.82 : 3,257.52 = 1,443.94 : x
  2. Step 2: Convert to fraction form
    2,175.82/3,257.52 = 1,443.94/x
  3. Step 3: Cross multiply
    2,175.82x = 3,257.52 × 1,443.94
  4. Step 4: Simplify right side
    2,175.82x = 4,703,663.43
  5. Step 5: Solve for x
    x = 4,703,663.43/2,175.82
  6. Step 6: Final answer
    x = 2,161.79

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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.