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Finding the Fourth Proportional to 2,806.10, 4,200.84 and 2,078.94

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Solution

The fourth proportional to 2,806.10, 4,200.84 and 2,078.94 is: 3,112.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.10 : 4,200.84 = 2,078.94 : x
  2. Step 2: Convert to fraction form
    2,806.10/4,200.84 = 2,078.94/x
  3. Step 3: Cross multiply
    2,806.10x = 4,200.84 × 2,078.94
  4. Step 4: Simplify right side
    2,806.10x = 8,733,294.31
  5. Step 5: Solve for x
    x = 8,733,294.31/2,806.10
  6. Step 6: Final answer
    x = 3,112.25

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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.