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Finding the Fourth Proportional to 2,282.92, 3,423.84 and 821.68

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Solution

The fourth proportional to 2,282.92, 3,423.84 and 821.68 is: 1,232.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.92 : 3,423.84 = 821.68 : x
  2. Step 2: Convert to fraction form
    2,282.92/3,423.84 = 821.68/x
  3. Step 3: Cross multiply
    2,282.92x = 3,423.84 × 821.68
  4. Step 4: Simplify right side
    2,282.92x = 2,813,300.85
  5. Step 5: Solve for x
    x = 2,813,300.85/2,282.92
  6. Step 6: Final answer
    x = 1,232.33

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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.