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Finding the Fourth Proportional to 2,282.84, 3,424.15 and 821.94

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Solution

The fourth proportional to 2,282.84, 3,424.15 and 821.94 is: 1,232.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.84 : 3,424.15 = 821.94 : x
  2. Step 2: Convert to fraction form
    2,282.84/3,424.15 = 821.94/x
  3. Step 3: Cross multiply
    2,282.84x = 3,424.15 × 821.94
  4. Step 4: Simplify right side
    2,282.84x = 2,814,445.85
  5. Step 5: Solve for x
    x = 2,814,445.85/2,282.84
  6. Step 6: Final answer
    x = 1,232.87

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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.