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Finding the Fourth Proportional to 2,001.21, 3,001.42 and 540.03

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Solution

The fourth proportional to 2,001.21, 3,001.42 and 540.03 is: 809.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.21 : 3,001.42 = 540.03 : x
  2. Step 2: Convert to fraction form
    2,001.21/3,001.42 = 540.03/x
  3. Step 3: Cross multiply
    2,001.21x = 3,001.42 × 540.03
  4. Step 4: Simplify right side
    2,001.21x = 1,620,841.17
  5. Step 5: Solve for x
    x = 1,620,841.17/2,001.21
  6. Step 6: Final answer
    x = 809.93

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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.