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Finding the Fourth Proportional to 2,960.01, 4,084.71 and 1,633.62

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Solution

The fourth proportional to 2,960.01, 4,084.71 and 1,633.62 is: 2,254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.01 : 4,084.71 = 1,633.62 : x
  2. Step 2: Convert to fraction form
    2,960.01/4,084.71 = 1,633.62/x
  3. Step 3: Cross multiply
    2,960.01x = 4,084.71 × 1,633.62
  4. Step 4: Simplify right side
    2,960.01x = 6,672,863.95
  5. Step 5: Solve for x
    x = 6,672,863.95/2,960.01
  6. Step 6: Final answer
    x = 2,254.34

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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.