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Finding the Fourth Proportional to 2,824.62, 4,236.78 and 876.57

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Solution

The fourth proportional to 2,824.62, 4,236.78 and 876.57 is: 1,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.62 : 4,236.78 = 876.57 : x
  2. Step 2: Convert to fraction form
    2,824.62/4,236.78 = 876.57/x
  3. Step 3: Cross multiply
    2,824.62x = 4,236.78 × 876.57
  4. Step 4: Simplify right side
    2,824.62x = 3,713,834.24
  5. Step 5: Solve for x
    x = 3,713,834.24/2,824.62
  6. Step 6: Final answer
    x = 1,314.81

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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.