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Finding the Fourth Proportional to 2,042.61, 3,063.75 and 581.58

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Solution

The fourth proportional to 2,042.61, 3,063.75 and 581.58 is: 872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.61 : 3,063.75 = 581.58 : x
  2. Step 2: Convert to fraction form
    2,042.61/3,063.75 = 581.58/x
  3. Step 3: Cross multiply
    2,042.61x = 3,063.75 × 581.58
  4. Step 4: Simplify right side
    2,042.61x = 1,781,815.73
  5. Step 5: Solve for x
    x = 1,781,815.73/2,042.61
  6. Step 6: Final answer
    x = 872.32

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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.