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Finding the Fourth Proportional to 2,961.99, 4,087.53 and 1,635.62

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Solution

The fourth proportional to 2,961.99, 4,087.53 and 1,635.62 is: 2,257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.99 : 4,087.53 = 1,635.62 : x
  2. Step 2: Convert to fraction form
    2,961.99/4,087.53 = 1,635.62/x
  3. Step 3: Cross multiply
    2,961.99x = 4,087.53 × 1,635.62
  4. Step 4: Simplify right side
    2,961.99x = 6,685,625.38
  5. Step 5: Solve for x
    x = 6,685,625.38/2,961.99
  6. Step 6: Final answer
    x = 2,257.14

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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.