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Finding the Fourth Proportional to 3,149.10, 4,723.59 and 809.10

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Solution

The fourth proportional to 3,149.10, 4,723.59 and 809.10 is: 1,213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.10 : 4,723.59 = 809.10 : x
  2. Step 2: Convert to fraction form
    3,149.10/4,723.59 = 809.10/x
  3. Step 3: Cross multiply
    3,149.10x = 4,723.59 × 809.10
  4. Step 4: Simplify right side
    3,149.10x = 3,821,856.67
  5. Step 5: Solve for x
    x = 3,821,856.67/3,149.10
  6. Step 6: Final answer
    x = 1,213.63

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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.