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Finding the Fourth Proportional to 1,999.81, 3,000.12 and 701.38

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Solution

The fourth proportional to 1,999.81, 3,000.12 and 701.38 is: 1,052.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.81 : 3,000.12 = 701.38 : x
  2. Step 2: Convert to fraction form
    1,999.81/3,000.12 = 701.38/x
  3. Step 3: Cross multiply
    1,999.81x = 3,000.12 × 701.38
  4. Step 4: Simplify right side
    1,999.81x = 2,104,224.17
  5. Step 5: Solve for x
    x = 2,104,224.17/1,999.81
  6. Step 6: Final answer
    x = 1,052.21

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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.