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Finding the Fourth Proportional to 3,448.31, 4,759.64 and 2,032.82

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Solution

The fourth proportional to 3,448.31, 4,759.64 and 2,032.82 is: 2,805.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.31 : 4,759.64 = 2,032.82 : x
  2. Step 2: Convert to fraction form
    3,448.31/4,759.64 = 2,032.82/x
  3. Step 3: Cross multiply
    3,448.31x = 4,759.64 × 2,032.82
  4. Step 4: Simplify right side
    3,448.31x = 9,675,491.38
  5. Step 5: Solve for x
    x = 9,675,491.38/3,448.31
  6. Step 6: Final answer
    x = 2,805.86

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Why These Related Problems?

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