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Finding the Fourth Proportional to 1,592.25, 2,387.78 and 551.97

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Solution

The fourth proportional to 1,592.25, 2,387.78 and 551.97 is: 827.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.25 : 2,387.78 = 551.97 : x
  2. Step 2: Convert to fraction form
    1,592.25/2,387.78 = 551.97/x
  3. Step 3: Cross multiply
    1,592.25x = 2,387.78 × 551.97
  4. Step 4: Simplify right side
    1,592.25x = 1,317,982.93
  5. Step 5: Solve for x
    x = 1,317,982.93/1,592.25
  6. Step 6: Final answer
    x = 827.75

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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.