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Finding the Fourth Proportional to 1,892.91, 2,839.20 and 506.20

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Solution

The fourth proportional to 1,892.91, 2,839.20 and 506.20 is: 759.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.91 : 2,839.20 = 506.20 : x
  2. Step 2: Convert to fraction form
    1,892.91/2,839.20 = 506.20/x
  3. Step 3: Cross multiply
    1,892.91x = 2,839.20 × 506.20
  4. Step 4: Simplify right side
    1,892.91x = 1,437,204.69
  5. Step 5: Solve for x
    x = 1,437,204.69/1,892.91
  6. Step 6: Final answer
    x = 759.26

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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.