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Finding the Fourth Proportional to 2,357, 3,535.50 and 818

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Solution

The fourth proportional to 2,357, 3,535.50 and 818 is: 1,227

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357 : 3,535.50 = 818 : x
  2. Step 2: Convert to fraction form
    2,357/3,535.50 = 818/x
  3. Step 3: Cross multiply
    2,357x = 3,535.50 × 818
  4. Step 4: Simplify right side
    2,357x = 2,892,039
  5. Step 5: Solve for x
    x = 2,892,039/2,357
  6. Step 6: Final answer
    x = 1,227

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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.