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Finding the Fourth Proportional to 2,020.94, 3,031.59 and 540.39

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Solution

The fourth proportional to 2,020.94, 3,031.59 and 540.39 is: 810.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.94 : 3,031.59 = 540.39 : x
  2. Step 2: Convert to fraction form
    2,020.94/3,031.59 = 540.39/x
  3. Step 3: Cross multiply
    2,020.94x = 3,031.59 × 540.39
  4. Step 4: Simplify right side
    2,020.94x = 1,638,234.22
  5. Step 5: Solve for x
    x = 1,638,234.22/2,020.94
  6. Step 6: Final answer
    x = 810.63

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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.