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Finding the Fourth Proportional to 2,709.65, 4,059.62 and 2,563.85

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Solution

The fourth proportional to 2,709.65, 4,059.62 and 2,563.85 is: 3,841.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.65 : 4,059.62 = 2,563.85 : x
  2. Step 2: Convert to fraction form
    2,709.65/4,059.62 = 2,563.85/x
  3. Step 3: Cross multiply
    2,709.65x = 4,059.62 × 2,563.85
  4. Step 4: Simplify right side
    2,709.65x = 10,408,243.92
  5. Step 5: Solve for x
    x = 10,408,243.92/2,709.65
  6. Step 6: Final answer
    x = 3,841.18

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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.