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Finding the Fourth Proportional to 2,822.14, 4,233.12 and 873.82

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Solution

The fourth proportional to 2,822.14, 4,233.12 and 873.82 is: 1,310.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.14 : 4,233.12 = 873.82 : x
  2. Step 2: Convert to fraction form
    2,822.14/4,233.12 = 873.82/x
  3. Step 3: Cross multiply
    2,822.14x = 4,233.12 × 873.82
  4. Step 4: Simplify right side
    2,822.14x = 3,698,984.92
  5. Step 5: Solve for x
    x = 3,698,984.92/2,822.14
  6. Step 6: Final answer
    x = 1,310.70

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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.