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Finding the Fourth Proportional to 2,042.81, 3,063.80 and 582.11

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Solution

The fourth proportional to 2,042.81, 3,063.80 and 582.11 is: 873.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.81 : 3,063.80 = 582.11 : x
  2. Step 2: Convert to fraction form
    2,042.81/3,063.80 = 582.11/x
  3. Step 3: Cross multiply
    2,042.81x = 3,063.80 × 582.11
  4. Step 4: Simplify right side
    2,042.81x = 1,783,450.39
  5. Step 5: Solve for x
    x = 1,783,450.39/2,042.81
  6. Step 6: Final answer
    x = 873.04

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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.