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Finding the Fourth Proportional to 2,584.88, 3,561.68 and 1,755.44

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Solution

The fourth proportional to 2,584.88, 3,561.68 and 1,755.44 is: 2,418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.88 : 3,561.68 = 1,755.44 : x
  2. Step 2: Convert to fraction form
    2,584.88/3,561.68 = 1,755.44/x
  3. Step 3: Cross multiply
    2,584.88x = 3,561.68 × 1,755.44
  4. Step 4: Simplify right side
    2,584.88x = 6,252,315.54
  5. Step 5: Solve for x
    x = 6,252,315.54/2,584.88
  6. Step 6: Final answer
    x = 2,418.80

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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.