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Finding the Fourth Proportional to 1,999.85, 3,001.11 and 701.31

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Solution

The fourth proportional to 1,999.85, 3,001.11 and 701.31 is: 1,052.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.85 : 3,001.11 = 701.31 : x
  2. Step 2: Convert to fraction form
    1,999.85/3,001.11 = 701.31/x
  3. Step 3: Cross multiply
    1,999.85x = 3,001.11 × 701.31
  4. Step 4: Simplify right side
    1,999.85x = 2,104,717.08
  5. Step 5: Solve for x
    x = 2,104,717.08/1,999.85
  6. Step 6: Final answer
    x = 1,052.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.