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Finding the Fourth Proportional to 2,801.84, 3,843.82 and 2,625.20

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Solution

The fourth proportional to 2,801.84, 3,843.82 and 2,625.20 is: 3,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.84 : 3,843.82 = 2,625.20 : x
  2. Step 2: Convert to fraction form
    2,801.84/3,843.82 = 2,625.20/x
  3. Step 3: Cross multiply
    2,801.84x = 3,843.82 × 2,625.20
  4. Step 4: Simplify right side
    2,801.84x = 10,090,796.26
  5. Step 5: Solve for x
    x = 10,090,796.26/2,801.84
  6. Step 6: Final answer
    x = 3,601.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.