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Finding the Fourth Proportional to 2,961.62, 4,087.01 and 1,635.39

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Solution

The fourth proportional to 2,961.62, 4,087.01 and 1,635.39 is: 2,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.62 : 4,087.01 = 1,635.39 : x
  2. Step 2: Convert to fraction form
    2,961.62/4,087.01 = 1,635.39/x
  3. Step 3: Cross multiply
    2,961.62x = 4,087.01 × 1,635.39
  4. Step 4: Simplify right side
    2,961.62x = 6,683,847.11
  5. Step 5: Solve for x
    x = 6,683,847.11/2,961.62
  6. Step 6: Final answer
    x = 2,256.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.