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Finding the Fourth Proportional to 2,755.62, 3,797.69 and 2,580.26

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Solution

The fourth proportional to 2,755.62, 3,797.69 and 2,580.26 is: 3,556.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.62 : 3,797.69 = 2,580.26 : x
  2. Step 2: Convert to fraction form
    2,755.62/3,797.69 = 2,580.26/x
  3. Step 3: Cross multiply
    2,755.62x = 3,797.69 × 2,580.26
  4. Step 4: Simplify right side
    2,755.62x = 9,798,995.71
  5. Step 5: Solve for x
    x = 9,798,995.71/2,755.62
  6. Step 6: Final answer
    x = 3,556.00

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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.