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Finding the Fourth Proportional to 1,784.30, 2,676.74 and 551.42

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Solution

The fourth proportional to 1,784.30, 2,676.74 and 551.42 is: 827.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.30 : 2,676.74 = 551.42 : x
  2. Step 2: Convert to fraction form
    1,784.30/2,676.74 = 551.42/x
  3. Step 3: Cross multiply
    1,784.30x = 2,676.74 × 551.42
  4. Step 4: Simplify right side
    1,784.30x = 1,476,007.97
  5. Step 5: Solve for x
    x = 1,476,007.97/1,784.30
  6. Step 6: Final answer
    x = 827.22

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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.