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Finding the Fourth Proportional to 1,729.14, 2,592.26 and 804.23

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Solution

The fourth proportional to 1,729.14, 2,592.26 and 804.23 is: 1,205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.14 : 2,592.26 = 804.23 : x
  2. Step 2: Convert to fraction form
    1,729.14/2,592.26 = 804.23/x
  3. Step 3: Cross multiply
    1,729.14x = 2,592.26 × 804.23
  4. Step 4: Simplify right side
    1,729.14x = 2,084,756.28
  5. Step 5: Solve for x
    x = 2,084,756.28/1,729.14
  6. Step 6: Final answer
    x = 1,205.66

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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.