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Finding the Fourth Proportional to 2,674.00, 3,690.14 and 1,611.82

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Solution

The fourth proportional to 2,674.00, 3,690.14 and 1,611.82 is: 2,224.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.00 : 3,690.14 = 1,611.82 : x
  2. Step 2: Convert to fraction form
    2,674.00/3,690.14 = 1,611.82/x
  3. Step 3: Cross multiply
    2,674.00x = 3,690.14 × 1,611.82
  4. Step 4: Simplify right side
    2,674.00x = 5,947,864.25
  5. Step 5: Solve for x
    x = 5,947,864.25/2,674.00
  6. Step 6: Final answer
    x = 2,224.33

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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.