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Finding the Fourth Proportional to 2,861.87, 4,296.44 and 2,431.76

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Solution

The fourth proportional to 2,861.87, 4,296.44 and 2,431.76 is: 3,650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.87 : 4,296.44 = 2,431.76 : x
  2. Step 2: Convert to fraction form
    2,861.87/4,296.44 = 2,431.76/x
  3. Step 3: Cross multiply
    2,861.87x = 4,296.44 × 2,431.76
  4. Step 4: Simplify right side
    2,861.87x = 10,447,895.53
  5. Step 5: Solve for x
    x = 10,447,895.53/2,861.87
  6. Step 6: Final answer
    x = 3,650.73

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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.