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Finding the Fourth Proportional to 2,271.05, 3,406.57 and 809.86

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Solution

The fourth proportional to 2,271.05, 3,406.57 and 809.86 is: 1,214.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.05 : 3,406.57 = 809.86 : x
  2. Step 2: Convert to fraction form
    2,271.05/3,406.57 = 809.86/x
  3. Step 3: Cross multiply
    2,271.05x = 3,406.57 × 809.86
  4. Step 4: Simplify right side
    2,271.05x = 2,758,845.18
  5. Step 5: Solve for x
    x = 2,758,845.18/2,271.05
  6. Step 6: Final answer
    x = 1,214.79

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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.