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Finding the Fourth Proportional to 2,725.12, 3,759.84 and 1,676.80

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Solution

The fourth proportional to 2,725.12, 3,759.84 and 1,676.80 is: 2,313.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.12 : 3,759.84 = 1,676.80 : x
  2. Step 2: Convert to fraction form
    2,725.12/3,759.84 = 1,676.80/x
  3. Step 3: Cross multiply
    2,725.12x = 3,759.84 × 1,676.80
  4. Step 4: Simplify right side
    2,725.12x = 6,304,499.71
  5. Step 5: Solve for x
    x = 6,304,499.71/2,725.12
  6. Step 6: Final answer
    x = 2,313.48

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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.