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Finding the Fourth Proportional to 2,001.06, 3,001.77 and 540.20

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Solution

The fourth proportional to 2,001.06, 3,001.77 and 540.20 is: 810.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.06 : 3,001.77 = 540.20 : x
  2. Step 2: Convert to fraction form
    2,001.06/3,001.77 = 540.20/x
  3. Step 3: Cross multiply
    2,001.06x = 3,001.77 × 540.20
  4. Step 4: Simplify right side
    2,001.06x = 1,621,563.66
  5. Step 5: Solve for x
    x = 1,621,563.66/2,001.06
  6. Step 6: Final answer
    x = 810.35

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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.