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Finding the Fourth Proportional to 1,728.59, 2,591.06 and 1,243.80

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Solution

The fourth proportional to 1,728.59, 2,591.06 and 1,243.80 is: 1,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.59 : 2,591.06 = 1,243.80 : x
  2. Step 2: Convert to fraction form
    1,728.59/2,591.06 = 1,243.80/x
  3. Step 3: Cross multiply
    1,728.59x = 2,591.06 × 1,243.80
  4. Step 4: Simplify right side
    1,728.59x = 3,222,754.21
  5. Step 5: Solve for x
    x = 3,222,754.21/1,728.59
  6. Step 6: Final answer
    x = 1,864.39

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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.