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Finding the Fourth Proportional to 2,661.99, 3,675.07 and 2,027.53

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Solution

The fourth proportional to 2,661.99, 3,675.07 and 2,027.53 is: 2,799.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.99 : 3,675.07 = 2,027.53 : x
  2. Step 2: Convert to fraction form
    2,661.99/3,675.07 = 2,027.53/x
  3. Step 3: Cross multiply
    2,661.99x = 3,675.07 × 2,027.53
  4. Step 4: Simplify right side
    2,661.99x = 7,451,314.68
  5. Step 5: Solve for x
    x = 7,451,314.68/2,661.99
  6. Step 6: Final answer
    x = 2,799.15

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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.