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Finding the Fourth Proportional to 2,725.36, 3,757.80 and 1,675.60

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Solution

The fourth proportional to 2,725.36, 3,757.80 and 1,675.60 is: 2,310.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.36 : 3,757.80 = 1,675.60 : x
  2. Step 2: Convert to fraction form
    2,725.36/3,757.80 = 1,675.60/x
  3. Step 3: Cross multiply
    2,725.36x = 3,757.80 × 1,675.60
  4. Step 4: Simplify right side
    2,725.36x = 6,296,569.68
  5. Step 5: Solve for x
    x = 6,296,569.68/2,725.36
  6. Step 6: Final answer
    x = 2,310.36

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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.