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Finding the Fourth Proportional to 2,823.05, 4,236.05 and 2,006.57

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Solution

The fourth proportional to 2,823.05, 4,236.05 and 2,006.57 is: 3,010.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.05 : 4,236.05 = 2,006.57 : x
  2. Step 2: Convert to fraction form
    2,823.05/4,236.05 = 2,006.57/x
  3. Step 3: Cross multiply
    2,823.05x = 4,236.05 × 2,006.57
  4. Step 4: Simplify right side
    2,823.05x = 8,499,914.68
  5. Step 5: Solve for x
    x = 8,499,914.68/2,823.05
  6. Step 6: Final answer
    x = 3,010.90

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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.