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Finding the Fourth Proportional to 4,270.36, 6,404.82 and 1,961.32

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Solution

The fourth proportional to 4,270.36, 6,404.82 and 1,961.32 is: 2,941.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.36 : 6,404.82 = 1,961.32 : x
  2. Step 2: Convert to fraction form
    4,270.36/6,404.82 = 1,961.32/x
  3. Step 3: Cross multiply
    4,270.36x = 6,404.82 × 1,961.32
  4. Step 4: Simplify right side
    4,270.36x = 12,561,901.56
  5. Step 5: Solve for x
    x = 12,561,901.56/4,270.36
  6. Step 6: Final answer
    x = 2,941.65

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