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Finding the Fourth Proportional to 2,042.33, 3,063.62 and 581.42

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Solution

The fourth proportional to 2,042.33, 3,063.62 and 581.42 is: 872.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.33 : 3,063.62 = 581.42 : x
  2. Step 2: Convert to fraction form
    2,042.33/3,063.62 = 581.42/x
  3. Step 3: Cross multiply
    2,042.33x = 3,063.62 × 581.42
  4. Step 4: Simplify right side
    2,042.33x = 1,781,259.05
  5. Step 5: Solve for x
    x = 1,781,259.05/2,042.33
  6. Step 6: Final answer
    x = 872.17

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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.