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Finding the Fourth Proportional to 1,729.69, 2,592.31 and 1,036.75

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Solution

The fourth proportional to 1,729.69, 2,592.31 and 1,036.75 is: 1,553.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.69 : 2,592.31 = 1,036.75 : x
  2. Step 2: Convert to fraction form
    1,729.69/2,592.31 = 1,036.75/x
  3. Step 3: Cross multiply
    1,729.69x = 2,592.31 × 1,036.75
  4. Step 4: Simplify right side
    1,729.69x = 2,687,577.39
  5. Step 5: Solve for x
    x = 2,687,577.39/1,729.69
  6. Step 6: Final answer
    x = 1,553.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.