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Finding the Fourth Proportional to 1,970.97, 2,951.24 and 1,189.93

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Solution

The fourth proportional to 1,970.97, 2,951.24 and 1,189.93 is: 1,781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.97 : 2,951.24 = 1,189.93 : x
  2. Step 2: Convert to fraction form
    1,970.97/2,951.24 = 1,189.93/x
  3. Step 3: Cross multiply
    1,970.97x = 2,951.24 × 1,189.93
  4. Step 4: Simplify right side
    1,970.97x = 3,511,769.01
  5. Step 5: Solve for x
    x = 3,511,769.01/1,970.97
  6. Step 6: Final answer
    x = 1,781.75

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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.