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Finding the Fourth Proportional to 1,892.78, 2,839.44 and 723.22

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Solution

The fourth proportional to 1,892.78, 2,839.44 and 723.22 is: 1,084.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.78 : 2,839.44 = 723.22 : x
  2. Step 2: Convert to fraction form
    1,892.78/2,839.44 = 723.22/x
  3. Step 3: Cross multiply
    1,892.78x = 2,839.44 × 723.22
  4. Step 4: Simplify right side
    1,892.78x = 2,053,539.80
  5. Step 5: Solve for x
    x = 2,053,539.80/1,892.78
  6. Step 6: Final answer
    x = 1,084.93

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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.