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Finding the Fourth Proportional to 1,861.99, 2,793.49 and 821.75

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Solution

The fourth proportional to 1,861.99, 2,793.49 and 821.75 is: 1,232.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.99 : 2,793.49 = 821.75 : x
  2. Step 2: Convert to fraction form
    1,861.99/2,793.49 = 821.75/x
  3. Step 3: Cross multiply
    1,861.99x = 2,793.49 × 821.75
  4. Step 4: Simplify right side
    1,861.99x = 2,295,534.39
  5. Step 5: Solve for x
    x = 2,295,534.39/1,861.99
  6. Step 6: Final answer
    x = 1,232.84

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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.