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Finding the Fourth Proportional to 2,687.98, 3,709.56 and 1,509.22

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Solution

The fourth proportional to 2,687.98, 3,709.56 and 1,509.22 is: 2,082.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.98 : 3,709.56 = 1,509.22 : x
  2. Step 2: Convert to fraction form
    2,687.98/3,709.56 = 1,509.22/x
  3. Step 3: Cross multiply
    2,687.98x = 3,709.56 × 1,509.22
  4. Step 4: Simplify right side
    2,687.98x = 5,598,542.14
  5. Step 5: Solve for x
    x = 5,598,542.14/2,687.98
  6. Step 6: Final answer
    x = 2,082.81

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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.