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Finding the Fourth Proportional to 1,728.14, 2,591.93 and 573.89

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Solution

The fourth proportional to 1,728.14, 2,591.93 and 573.89 is: 860.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.14 : 2,591.93 = 573.89 : x
  2. Step 2: Convert to fraction form
    1,728.14/2,591.93 = 573.89/x
  3. Step 3: Cross multiply
    1,728.14x = 2,591.93 × 573.89
  4. Step 4: Simplify right side
    1,728.14x = 1,487,471.18
  5. Step 5: Solve for x
    x = 1,487,471.18/1,728.14
  6. Step 6: Final answer
    x = 860.74

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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.