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Finding the Fourth Proportional to 1,999.90, 2,760.12 and 1,202.86

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Solution

The fourth proportional to 1,999.90, 2,760.12 and 1,202.86 is: 1,660.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.90 : 2,760.12 = 1,202.86 : x
  2. Step 2: Convert to fraction form
    1,999.90/2,760.12 = 1,202.86/x
  3. Step 3: Cross multiply
    1,999.90x = 2,760.12 × 1,202.86
  4. Step 4: Simplify right side
    1,999.90x = 3,320,037.94
  5. Step 5: Solve for x
    x = 3,320,037.94/1,999.90
  6. Step 6: Final answer
    x = 1,660.10

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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.