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Finding the Fourth Proportional to 1,999.31, 2,998.80 and 766.70

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Solution

The fourth proportional to 1,999.31, 2,998.80 and 766.70 is: 1,149.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.31 : 2,998.80 = 766.70 : x
  2. Step 2: Convert to fraction form
    1,999.31/2,998.80 = 766.70/x
  3. Step 3: Cross multiply
    1,999.31x = 2,998.80 × 766.70
  4. Step 4: Simplify right side
    1,999.31x = 2,299,164.97
  5. Step 5: Solve for x
    x = 2,299,164.97/1,999.31
  6. Step 6: Final answer
    x = 1,149.98

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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.