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Finding the Fourth Proportional to 2,687.58, 4,028.94 and 1,387.80

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Solution

The fourth proportional to 2,687.58, 4,028.94 and 1,387.80 is: 2,080.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.58 : 4,028.94 = 1,387.80 : x
  2. Step 2: Convert to fraction form
    2,687.58/4,028.94 = 1,387.80/x
  3. Step 3: Cross multiply
    2,687.58x = 4,028.94 × 1,387.80
  4. Step 4: Simplify right side
    2,687.58x = 5,591,362.93
  5. Step 5: Solve for x
    x = 5,591,362.93/2,687.58
  6. Step 6: Final answer
    x = 2,080.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.