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Finding the Fourth Proportional to 1,892.66, 2,839.26 and 506.10

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Solution

The fourth proportional to 1,892.66, 2,839.26 and 506.10 is: 759.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.66 : 2,839.26 = 506.10 : x
  2. Step 2: Convert to fraction form
    1,892.66/2,839.26 = 506.10/x
  3. Step 3: Cross multiply
    1,892.66x = 2,839.26 × 506.10
  4. Step 4: Simplify right side
    1,892.66x = 1,436,949.49
  5. Step 5: Solve for x
    x = 1,436,949.49/1,892.66
  6. Step 6: Final answer
    x = 759.22

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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.