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Finding the Fourth Proportional to 2,861.76, 4,293.34 and 809.76

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Solution

The fourth proportional to 2,861.76, 4,293.34 and 809.76 is: 1,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.76 : 4,293.34 = 809.76 : x
  2. Step 2: Convert to fraction form
    2,861.76/4,293.34 = 809.76/x
  3. Step 3: Cross multiply
    2,861.76x = 4,293.34 × 809.76
  4. Step 4: Simplify right side
    2,861.76x = 3,476,575.00
  5. Step 5: Solve for x
    x = 3,476,575.00/2,861.76
  6. Step 6: Final answer
    x = 1,214.84

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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.