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Finding the Fourth Proportional to 2,000.96, 3,001.19 and 540.21

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Solution

The fourth proportional to 2,000.96, 3,001.19 and 540.21 is: 810.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.96 : 3,001.19 = 540.21 : x
  2. Step 2: Convert to fraction form
    2,000.96/3,001.19 = 540.21/x
  3. Step 3: Cross multiply
    2,000.96x = 3,001.19 × 540.21
  4. Step 4: Simplify right side
    2,000.96x = 1,621,270.15
  5. Step 5: Solve for x
    x = 1,621,270.15/2,000.96
  6. Step 6: Final answer
    x = 810.25

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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.