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Finding the Fourth Proportional to 2,806.52, 3,872.88 and 1,611.14

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Solution

The fourth proportional to 2,806.52, 3,872.88 and 1,611.14 is: 2,223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.52 : 3,872.88 = 1,611.14 : x
  2. Step 2: Convert to fraction form
    2,806.52/3,872.88 = 1,611.14/x
  3. Step 3: Cross multiply
    2,806.52x = 3,872.88 × 1,611.14
  4. Step 4: Simplify right side
    2,806.52x = 6,239,751.88
  5. Step 5: Solve for x
    x = 6,239,751.88/2,806.52
  6. Step 6: Final answer
    x = 2,223.31

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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.