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Finding the Fourth Proportional to 2,057.84, 3,086.75 and 824.37

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Solution

The fourth proportional to 2,057.84, 3,086.75 and 824.37 is: 1,236.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.84 : 3,086.75 = 824.37 : x
  2. Step 2: Convert to fraction form
    2,057.84/3,086.75 = 824.37/x
  3. Step 3: Cross multiply
    2,057.84x = 3,086.75 × 824.37
  4. Step 4: Simplify right side
    2,057.84x = 2,544,626.16
  5. Step 5: Solve for x
    x = 2,544,626.16/2,057.84
  6. Step 6: Final answer
    x = 1,236.55

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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.