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Finding the Fourth Proportional to 2,615.56, 3,917.94 and 2,096.44

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Solution

The fourth proportional to 2,615.56, 3,917.94 and 2,096.44 is: 3,140.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.56 : 3,917.94 = 2,096.44 : x
  2. Step 2: Convert to fraction form
    2,615.56/3,917.94 = 2,096.44/x
  3. Step 3: Cross multiply
    2,615.56x = 3,917.94 × 2,096.44
  4. Step 4: Simplify right side
    2,615.56x = 8,213,726.13
  5. Step 5: Solve for x
    x = 8,213,726.13/2,615.56
  6. Step 6: Final answer
    x = 3,140.33

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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.