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Finding the Fourth Proportional to 2,611.62, 3,914.69 and 1,223.79

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Solution

The fourth proportional to 2,611.62, 3,914.69 and 1,223.79 is: 1,834.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.62 : 3,914.69 = 1,223.79 : x
  2. Step 2: Convert to fraction form
    2,611.62/3,914.69 = 1,223.79/x
  3. Step 3: Cross multiply
    2,611.62x = 3,914.69 × 1,223.79
  4. Step 4: Simplify right side
    2,611.62x = 4,790,758.48
  5. Step 5: Solve for x
    x = 4,790,758.48/2,611.62
  6. Step 6: Final answer
    x = 1,834.40

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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.