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Finding the Fourth Proportional to 2,328.87, 3,213.86 and 1,280.94

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Solution

The fourth proportional to 2,328.87, 3,213.86 and 1,280.94 is: 1,767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.87 : 3,213.86 = 1,280.94 : x
  2. Step 2: Convert to fraction form
    2,328.87/3,213.86 = 1,280.94/x
  3. Step 3: Cross multiply
    2,328.87x = 3,213.86 × 1,280.94
  4. Step 4: Simplify right side
    2,328.87x = 4,116,755.42
  5. Step 5: Solve for x
    x = 4,116,755.42/2,328.87
  6. Step 6: Final answer
    x = 1,767.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.