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Finding the Fourth Proportional to 2,042.78, 3,063.63 and 582.02

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Solution

The fourth proportional to 2,042.78, 3,063.63 and 582.02 is: 872.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.78 : 3,063.63 = 582.02 : x
  2. Step 2: Convert to fraction form
    2,042.78/3,063.63 = 582.02/x
  3. Step 3: Cross multiply
    2,042.78x = 3,063.63 × 582.02
  4. Step 4: Simplify right side
    2,042.78x = 1,783,078.61
  5. Step 5: Solve for x
    x = 1,783,078.61/2,042.78
  6. Step 6: Final answer
    x = 872.87

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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.