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Finding the Fourth Proportional to 2,824.67, 4,236.95 and 876.87

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Solution

The fourth proportional to 2,824.67, 4,236.95 and 876.87 is: 1,315.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.67 : 4,236.95 = 876.87 : x
  2. Step 2: Convert to fraction form
    2,824.67/4,236.95 = 876.87/x
  3. Step 3: Cross multiply
    2,824.67x = 4,236.95 × 876.87
  4. Step 4: Simplify right side
    2,824.67x = 3,715,256.54
  5. Step 5: Solve for x
    x = 3,715,256.54/2,824.67
  6. Step 6: Final answer
    x = 1,315.29

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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.