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Finding the Fourth Proportional to 2,409.06, 3,611.84 and 1,627.12

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Solution

The fourth proportional to 2,409.06, 3,611.84 and 1,627.12 is: 2,439.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.06 : 3,611.84 = 1,627.12 : x
  2. Step 2: Convert to fraction form
    2,409.06/3,611.84 = 1,627.12/x
  3. Step 3: Cross multiply
    2,409.06x = 3,611.84 × 1,627.12
  4. Step 4: Simplify right side
    2,409.06x = 5,876,888.97
  5. Step 5: Solve for x
    x = 5,876,888.97/2,409.06
  6. Step 6: Final answer
    x = 2,439.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.