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Finding the Fourth Proportional to 2,806.45, 4,209.57 and 2,149.49

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Solution

The fourth proportional to 2,806.45, 4,209.57 and 2,149.49 is: 3,224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.45 : 4,209.57 = 2,149.49 : x
  2. Step 2: Convert to fraction form
    2,806.45/4,209.57 = 2,149.49/x
  3. Step 3: Cross multiply
    2,806.45x = 4,209.57 × 2,149.49
  4. Step 4: Simplify right side
    2,806.45x = 9,048,415.46
  5. Step 5: Solve for x
    x = 9,048,415.46/2,806.45
  6. Step 6: Final answer
    x = 3,224.15

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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.