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Finding the Fourth Proportional to 1,729.06, 2,591.94 and 574

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Solution

The fourth proportional to 1,729.06, 2,591.94 and 574 is: 860.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.06 : 2,591.94 = 574 : x
  2. Step 2: Convert to fraction form
    1,729.06/2,591.94 = 574/x
  3. Step 3: Cross multiply
    1,729.06x = 2,591.94 × 574
  4. Step 4: Simplify right side
    1,729.06x = 1,487,773.56
  5. Step 5: Solve for x
    x = 1,487,773.56/1,729.06
  6. Step 6: Final answer
    x = 860.45

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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.