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Finding the Fourth Proportional to 2,806.68, 4,197.50 and 2,105.62

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Solution

The fourth proportional to 2,806.68, 4,197.50 and 2,105.62 is: 3,149.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.68 : 4,197.50 = 2,105.62 : x
  2. Step 2: Convert to fraction form
    2,806.68/4,197.50 = 2,105.62/x
  3. Step 3: Cross multiply
    2,806.68x = 4,197.50 × 2,105.62
  4. Step 4: Simplify right side
    2,806.68x = 8,838,345.21
  5. Step 5: Solve for x
    x = 8,838,345.21/2,806.68
  6. Step 6: Final answer
    x = 3,149.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.