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Finding the Fourth Proportional to 1,821.96, 2,732.94 and 523.43

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Solution

The fourth proportional to 1,821.96, 2,732.94 and 523.43 is: 785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.96 : 2,732.94 = 523.43 : x
  2. Step 2: Convert to fraction form
    1,821.96/2,732.94 = 523.43/x
  3. Step 3: Cross multiply
    1,821.96x = 2,732.94 × 523.43
  4. Step 4: Simplify right side
    1,821.96x = 1,430,499.37
  5. Step 5: Solve for x
    x = 1,430,499.37/1,821.96
  6. Step 6: Final answer
    x = 785.14

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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.