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Finding the Fourth Proportional to 2,042.25, 3,063.36 and 581.41

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Solution

The fourth proportional to 2,042.25, 3,063.36 and 581.41 is: 872.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.25 : 3,063.36 = 581.41 : x
  2. Step 2: Convert to fraction form
    2,042.25/3,063.36 = 581.41/x
  3. Step 3: Cross multiply
    2,042.25x = 3,063.36 × 581.41
  4. Step 4: Simplify right side
    2,042.25x = 1,781,065.23
  5. Step 5: Solve for x
    x = 1,781,065.23/2,042.25
  6. Step 6: Final answer
    x = 872.11

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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.