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Finding the Fourth Proportional to 1,291.39, 1,936.90 and 551.09

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Solution

The fourth proportional to 1,291.39, 1,936.90 and 551.09 is: 826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.39 : 1,936.90 = 551.09 : x
  2. Step 2: Convert to fraction form
    1,291.39/1,936.90 = 551.09/x
  3. Step 3: Cross multiply
    1,291.39x = 1,936.90 × 551.09
  4. Step 4: Simplify right side
    1,291.39x = 1,067,406.22
  5. Step 5: Solve for x
    x = 1,067,406.22/1,291.39
  6. Step 6: Final answer
    x = 826.56

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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.