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Finding the Fourth Proportional to 2,961.92, 4,438.63 and 2,175.75

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Solution

The fourth proportional to 2,961.92, 4,438.63 and 2,175.75 is: 3,260.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.92 : 4,438.63 = 2,175.75 : x
  2. Step 2: Convert to fraction form
    2,961.92/4,438.63 = 2,175.75/x
  3. Step 3: Cross multiply
    2,961.92x = 4,438.63 × 2,175.75
  4. Step 4: Simplify right side
    2,961.92x = 9,657,349.22
  5. Step 5: Solve for x
    x = 9,657,349.22/2,961.92
  6. Step 6: Final answer
    x = 3,260.50

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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.