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Finding the Fourth Proportional to 2,578.97, 3,557.15 and 1,584.79

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Solution

The fourth proportional to 2,578.97, 3,557.15 and 1,584.79 is: 2,185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.97 : 3,557.15 = 1,584.79 : x
  2. Step 2: Convert to fraction form
    2,578.97/3,557.15 = 1,584.79/x
  3. Step 3: Cross multiply
    2,578.97x = 3,557.15 × 1,584.79
  4. Step 4: Simplify right side
    2,578.97x = 5,637,310.04
  5. Step 5: Solve for x
    x = 5,637,310.04/2,578.97
  6. Step 6: Final answer
    x = 2,185.88

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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.