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Finding the Fourth Proportional to 2,121.70, 3,194.69 and 1,992.10

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Solution

The fourth proportional to 2,121.70, 3,194.69 and 1,992.10 is: 2,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.70 : 3,194.69 = 1,992.10 : x
  2. Step 2: Convert to fraction form
    2,121.70/3,194.69 = 1,992.10/x
  3. Step 3: Cross multiply
    2,121.70x = 3,194.69 × 1,992.10
  4. Step 4: Simplify right side
    2,121.70x = 6,364,141.95
  5. Step 5: Solve for x
    x = 6,364,141.95/2,121.70
  6. Step 6: Final answer
    x = 2,999.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.