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Finding the Fourth Proportional to 2,305.96, 3,459.03 and 1,961.68

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Solution

The fourth proportional to 2,305.96, 3,459.03 and 1,961.68 is: 2,942.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.96 : 3,459.03 = 1,961.68 : x
  2. Step 2: Convert to fraction form
    2,305.96/3,459.03 = 1,961.68/x
  3. Step 3: Cross multiply
    2,305.96x = 3,459.03 × 1,961.68
  4. Step 4: Simplify right side
    2,305.96x = 6,785,509.97
  5. Step 5: Solve for x
    x = 6,785,509.97/2,305.96
  6. Step 6: Final answer
    x = 2,942.60

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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.