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Finding the Fourth Proportional to 3,092.60, 4,611.31 and 2,749.16

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Solution

The fourth proportional to 3,092.60, 4,611.31 and 2,749.16 is: 4,099.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.60 : 4,611.31 = 2,749.16 : x
  2. Step 2: Convert to fraction form
    3,092.60/4,611.31 = 2,749.16/x
  3. Step 3: Cross multiply
    3,092.60x = 4,611.31 × 2,749.16
  4. Step 4: Simplify right side
    3,092.60x = 12,677,229.00
  5. Step 5: Solve for x
    x = 12,677,229.00/3,092.60
  6. Step 6: Final answer
    x = 4,099.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.