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Finding the Fourth Proportional to 2,687.27, 3,698.33 and 2,273.05

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Solution

The fourth proportional to 2,687.27, 3,698.33 and 2,273.05 is: 3,128.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.27 : 3,698.33 = 2,273.05 : x
  2. Step 2: Convert to fraction form
    2,687.27/3,698.33 = 2,273.05/x
  3. Step 3: Cross multiply
    2,687.27x = 3,698.33 × 2,273.05
  4. Step 4: Simplify right side
    2,687.27x = 8,406,482.26
  5. Step 5: Solve for x
    x = 8,406,482.26/2,687.27
  6. Step 6: Final answer
    x = 3,128.27

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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.