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Finding the Fourth Proportional to 1,727.48, 2,591.19 and 428.96

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Solution

The fourth proportional to 1,727.48, 2,591.19 and 428.96 is: 643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.48 : 2,591.19 = 428.96 : x
  2. Step 2: Convert to fraction form
    1,727.48/2,591.19 = 428.96/x
  3. Step 3: Cross multiply
    1,727.48x = 2,591.19 × 428.96
  4. Step 4: Simplify right side
    1,727.48x = 1,111,503.91
  5. Step 5: Solve for x
    x = 1,111,503.91/1,727.48
  6. Step 6: Final answer
    x = 643.43

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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.